Chapter 3

Find the \(x\)-intercept and the \(y\)-intercept of the graph of each equation. Do not graph the equation. \(2 x+6 y=30\)

Find the slope and the \(y\) -intercept of the line with the given equation. $$y=7$$

Graph each inequality. $$x-y<5$$

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

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

Find the \(x\)-intercept and the \(y\)-intercept of the graph of each equation. Do not graph the equation. \(2 x-3 y=15\)

Find the slope and the \(y\) -intercept of the line with the given equation. $$y=4-x$$

Graph each inequality. $$x-y<2$$

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

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

Find the \(x\)-intercept and the \(y\)-intercept of the graph of each equation. Do not graph the equation. \(4 x-5 y=10\)

Find the slope and the \(y\) -intercept of the line with the given equation. $$y=5-x$$

Graph each inequality. $$x+2 y>4$$

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. Then use the point-slope form of the equation to write the slope-intercept form of the equation. Slope \(=-\frac{2}{3},\) passing through \((6,-2).\)

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

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. $$-5 x+y=7$$

Graph each inequality. $$2 x+y>6$$

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. Then use the point-slope form of the equation to write the slope-intercept form of the equation. Slope \(=-\frac{3}{5},\) passing through \((10,-4)\)

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

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. $$-9 x+y=5$$

Graph each inequality. $$3 x-y \leq 6$$

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. Then use the point-slope form of the equation to write the slope-intercept form of the equation. Passing through \((1,2)\) and \((5,10)\)

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

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. $$x+y=6$$

Graph each inequality. $$x-3 y \leq-6$$

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. Then use the point-slope form of the equation to write the slope-intercept form of the equation. Passing through \((3,5)\) and \((8,15)\)

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

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. $$x+y=8$$

Graph each inequality. $$3 x-2 y \leq 8$$

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. Then use the point-slope form of the equation to write the slope-intercept form of the equation. Passing through \((-3,0)\) and \((0,3)\)

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

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. $$6 x+y=0$$

Graph each inequality. $$2 x-3 y \geq 8$$

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

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

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

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. $$8 x+y=0$$

Graph each inequality. $$4 x+3 y>15$$

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

Use intercepts and a checkpoint to graph equation. \(x+y=5\)

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

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. $$3 y=6 x$$

Graph each inequality. $$5 x+10 y>15$$

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

Use intercepts and a checkpoint to graph equation. \(x+y=6\)