Chapter 3

Write the point-slope form of the equation of the line satisfying each of the conditions in Exercises \(1-28 .\) Then use the point-slope form of the equation to write the slope-intercept form of the equation. Slope \(=-\frac{2}{3},\) passing through \((6,-2)\)

In Exercises \(13-26,\) begin by solving the linear equation for \(y .\) This will put the equation in slope-intercept form. Then find the slope and the \(y\) -intercept of the line with this equation. $$-5 x+y=7$$

Find the \(x\) -intercept and the \(y\) -intercept of the graph of each equation. Do not graph the equation. $$-x+3 y=-8$$

Plot the given point in a rectangular coordinate system. $$(0,2)$$

Write the point-slope form of the equation of the line satisfying each of the conditions in Exercises \(1-28 .\) Then use the point-slope form of the equation to write the slope-intercept form of the equation. Slope \(=-\frac{3}{5},\) passing through \((10,-4)\)

In Exercises \(13-26,\) begin by solving the linear equation for \(y .\) This will put the equation in slope-intercept form. Then find the slope and the \(y\) -intercept of the line with this equation. $$-9 x+y=5$$

Find the \(x\) -intercept and the \(y\) -intercept of the graph of each equation. Do not graph the equation. $$-x+3 y=-10$$

Plot the given point in a rectangular coordinate system. $$(0,5)$$

Write the point-slope form of the equation of the line satisfying each of the conditions in Exercises \(1-28 .\) Then use the point-slope form of the equation to write the slope-intercept form of the equation. Passing through \((1,2)\) and \((5,10)\)

In Exercises \(13-26,\) begin by solving the linear equation for \(y .\) This will put the equation in slope-intercept form. Then find the slope and the \(y\) -intercept of the line with this equation. $$x+y=6$$

Find the \(x\) -intercept and the \(y\) -intercept of the graph of each equation. Do not graph the equation. $$7 x-9 y=0$$

Plot the given point in a rectangular coordinate system. $$(0,-3)$$

Write the point-slope form of the equation of the line satisfying each of the conditions in Exercises \(1-28 .\) Then use the point-slope form of the equation to write the slope-intercept form of the equation. Passing through \((3,5)\) and \((8,15)\)

In Exercises \(13-26,\) begin by solving the linear equation for \(y .\) This will put the equation in slope-intercept form. Then find the slope and the \(y\) -intercept of the line with this equation. $$x+y=8$$

Find the \(x\) -intercept and the \(y\) -intercept of the graph of each equation. Do not graph the equation. $$8 x-11 y=0$$

Plot the given point in a rectangular coordinate system. $$(0,-5)$$

Write the point-slope form of the equation of the line satisfying each of the conditions in Exercises \(1-28 .\) Then use the point-slope form of the equation to write the slope-intercept form of the equation. Passing through \((-3,0)\) and \((0,3)\)

In Exercises \(13-26,\) begin by solving the linear equation for \(y .\) This will put the equation in slope-intercept form. Then find the slope and the \(y\) -intercept of the line with this equation. $$6 x+y=0$$

Find the \(x\) -intercept and the \(y\) -intercept of the graph of each equation. Do not graph the equation. $$2 x=3 y-11$$

Plot the given point in a rectangular coordinate system. $$\left(\frac{5}{2}, \frac{7}{2}\right)$$

Write the point-slope form of the equation of the line satisfying each of the conditions in Exercises \(1-28 .\) Then use the point-slope form of the equation to write the slope-intercept form of the equation. Passing through \((-2,0)\) and \((0,2)\)

In Exercises \(13-26,\) begin by solving the linear equation for \(y .\) This will put the equation in slope-intercept form. Then find the slope and the \(y\) -intercept of the line with this equation. $$8 x+y=0$$

Find the \(x\) -intercept and the \(y\) -intercept of the graph of each equation. Do not graph the equation. $$2 x=4 y-13$$

Plot the given point in a rectangular coordinate system. $$\left(\frac{7}{2}, \frac{5}{2}\right)$$

Write the point-slope form of the equation of the line satisfying each of the conditions in Exercises \(1-28 .\) Then use the point-slope form of the equation to write the slope-intercept form of the equation. Passing through \((-3,-1)\) and \((2,4)\)

In Exercises \(13-26,\) begin by solving the linear equation for \(y .\) This will put the equation in slope-intercept form. Then find the slope and the \(y\) -intercept of the line with this equation. $$3 y=6 x$$

Use intercepts and a checkpoint to graph each equation. $$x+y=5$$

Plot the given point in a rectangular coordinate system. $$\left(-5, \frac{3}{2}\right)$$

Write the point-slope form of the equation of the line satisfying each of the conditions in Exercises \(1-28 .\) Then use the point-slope form of the equation to write the slope-intercept form of the equation. Passing through \((-2,-4)\) and \((1,-1)\)

In Exercises \(13-26,\) begin by solving the linear equation for \(y .\) This will put the equation in slope-intercept form. Then find the slope and the \(y\) -intercept of the line with this equation. $$3 y=-9 x$$

Use intercepts and a checkpoint to graph each equation. $$x+y=6$$

Plot the given point in a rectangular coordinate system. $$\left(-\frac{9}{2},-4\right)$$

Write the point-slope form of the equation of the line satisfying each of the conditions in Exercises \(1-28 .\) Then use the point-slope form of the equation to write the slope-intercept form of the equation. Passing through \((-4,-1)\) and \((3,4)\)

In Exercises \(13-26,\) begin by solving the linear equation for \(y .\) This will put the equation in slope-intercept form. Then find the slope and the \(y\) -intercept of the line with this equation. $$2 x+7 y=0$$

Use intercepts and a checkpoint to graph each equation. $$x+3 y=6$$

Plot the given point in a rectangular coordinate system. $$(0,0)$$

Write the point-slope form of the equation of the line satisfying each of the conditions in Exercises \(1-28 .\) Then use the point-slope form of the equation to write the slope-intercept form of the equation. Passing through \((-6,1)\) and \((2,-5)\)

In Exercises \(13-26,\) begin by solving the linear equation for \(y .\) This will put the equation in slope-intercept form. Then find the slope and the \(y\) -intercept of the line with this equation. $$2 x+9 y=0$$

Use intercepts and a checkpoint to graph each equation. $$2 x+y=4$$

Plot the given point in a rectangular coordinate system. $$\left(-\frac{5}{2}, 0\right)$$

Write the point-slope form of the equation of the line satisfying each of the conditions in Exercises \(1-28 .\) Then use the point-slope form of the equation to write the slope-intercept form of the equation. Passing through \((-3,-1)\) and \((4,-1)\)

In Exercises \(13-26,\) begin by solving the linear equation for \(y .\) This will put the equation in slope-intercept form. Then find the slope and the \(y\) -intercept of the line with this equation. $$3 x+2 y=3$$

Determine whether the distinct lines through each pair of points are parallel. $$(-2,0)\( and \)(0,6) ;(1,8)\( and \)(0,5)$$

Use intercepts and a checkpoint to graph each equation. $$6 x-9 y=18$$

Plot the given point in a rectangular coordinate system. $$\left(0,-\frac{5}{2}\right)$$

Write the point-slope form of the equation of the line satisfying each of the conditions in Exercises \(1-28 .\) Then use the point-slope form of the equation to write the slope-intercept form of the equation. Passing through \((-2,-5)\) and \((6,-5)\)

In Exercises \(13-26,\) begin by solving the linear equation for \(y .\) This will put the equation in slope-intercept form. Then find the slope and the \(y\) -intercept of the line with this equation. $$4 x+3 y=4$$

Determine whether the distinct lines through each pair of points are parallel. $$(2,4)\( and \)(6,1) ;(-3,1)\( and \)(1,-2)$$

Use intercepts and a checkpoint to graph each equation. $$6 x-2 y=12$$

Plot the given point in a rectangular coordinate system. $$\left(0, \frac{7}{2}\right)$$