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. Passing through \((2,4)\) with \(x\) -intercept \(=-2\)

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. $$3 x-4 y=12$$

Determine whether the distinct lines through each pair of points are parallel. $$(0,3)\( and \)(1,5) ;(-1,7)\( and \)(1,10)$$

Use intercepts and a checkpoint to graph each equation. $$-x+4 y=6$$

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 \((1,-3)\) with \(x\) -intercept \(=-1\)

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. $$5 x-2 y=10$$

Determine whether the distinct lines through each pair of points are parallel. $$(-7,6)\( and \)(0,4) ;(-9,-3)\( and \)(1,5)$$

Use intercepts and a checkpoint to graph each equation. $$-x+3 y=10$$

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. \(x\) -intercept \(=-\frac{1}{2}\) and \(y\) -intercept \(=4\)

In Exercises \(27-38,\) graph each linear equation using the slope and y-intercept $$y=2 x+4$$

Determine whether the lines through each pair of points are perpendicular. $$(1,5)\( and \)(0,3) ;(-2,8)\( and \)(2,6)$$

Use intercepts and a checkpoint to graph each equation. $$2 x-y=7$$

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. \(x\) -intercept \(=4\) and \(y\) -intercept \(=-2\)

In Exercises \(27-38,\) graph each linear equation using the slope and y-intercept $$y=3 x+1$$

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

Use intercepts and a checkpoint to graph each equation. $$2 x-y=5$$

The equation of a line is given. Find the slope of a line that is a. parallel to the line with the given equation; and b. perpendicular to the line with the given equation. $$y=5 x$$

In Exercises \(27-38,\) graph each linear equation using the slope and y-intercept $$y=-3 x+5$$

Determine whether the lines through each pair of points are perpendicular. $$(-1,-6)\( and \)(2,9) ;(-15,-1)\( and \)(5,3)$$

Use intercepts and a checkpoint to graph each equation. $$3 x=5 y-15$$

The equation of a line is given. Find the slope of a line that is a. parallel to the line with the given equation; and b. perpendicular to the line with the given equation. $$y=3 x$$

In Exercises \(27-38,\) graph each linear equation using the slope and y-intercept $$y=-2 x+4$$

Determine whether the lines through each pair of points are perpendicular. $$(-1,-6)\( and \)(2,6) ;(-8,-1)\( and \)(4,2)$$

Use intercepts and a checkpoint to graph each equation. $$2 x=3 y+6$$

The equation of a line is given. Find the slope of a line that is a. parallel to the line with the given equation; and b. perpendicular to the line with the given equation. $$y=-7 x$$

In Exercises \(27-38,\) graph each linear equation using the slope and y-intercept $$y=\frac{1}{2} x+1$$

Determine whether the lines through each pair of points are parallel, perpendicular, or neither. $$(-2,-5)\( and \)(3,10) ;(-1,-9)\( and \)(4,6)$$$

Use intercepts and a checkpoint to graph each equation. $$25 y=100-50 x$$

The equation of a line is given. Find the slope of a line that is a. parallel to the line with the given equation; and b. perpendicular to the line with the given equation. $$y=-9 x$$

In Exercises \(27-38,\) graph each linear equation using the slope and y-intercept $$y=\frac{1}{3} x+2$$

Determine whether the lines through each pair of points are parallel, perpendicular, or neither. $$(-2,-7)\( and \)(3,13) ;(-1,-9)\( and \)(5,15)$$

Use intercepts and a checkpoint to graph each equation. $$10 y=60-40 x$$

The equation of a line is given. Find the slope of a line that is a. parallel to the line with the given equation; and b. perpendicular to the line with the given equation. $$y=\frac{1}{2} x+3$$

In Exercises \(27-38,\) graph each linear equation using the slope and y-intercept $$y=\frac{2}{3} x-5$$

Determine whether the lines through each pair of points are parallel, perpendicular, or neither. $$(-4,-12)\( and \)(0,-4) ;(0,-5)\( and \)(2,-4)$$

Use intercepts and a checkpoint to graph each equation. $$2 x-8 y=12$$

In which quadrants are the \(y\) -coordinates positive?

The equation of a line is given. Find the slope of a line that is a. parallel to the line with the given equation; and b. perpendicular to the line with the given equation. $$y=\frac{1}{4} x-5$$

In Exercises \(27-38,\) graph each linear equation using the slope and y-intercept $$y=\frac{3}{4} x-4$$

Determine whether the lines through each pair of points are parallel, perpendicular, or neither. $$(-1,-11)\( and \)(0,-5) ;(0,-8)\( and \)(12,-6)$$

Use intercepts and a checkpoint to graph each equation. $$3 x-6 y=15$$

In which quadrants are the \(x\) -coordinates negative?

The equation of a line is given. Find the slope of a line that is a. parallel to the line with the given equation; and b. perpendicular to the line with the given equation. $$y=-\frac{2}{5} x-1$$

In Exercises \(27-38,\) graph each linear equation using the slope and y-intercept $$y=-\frac{3}{4} x+2$$

Determine whether the lines through each pair of points are parallel, perpendicular, or neither. $$(-5,-1)\( and \)(0,2) ;(-6,9)\( and \)(3,-6)$$

Use intercepts and a checkpoint to graph each equation. $$x+2 y=0$$

In which quadrants do the \(x\) -coordinates and the \(y\) -coordinates have the same sign?

The equation of a line is given. Find the slope of a line that is a. parallel to the line with the given equation; and b. perpendicular to the line with the given equation. $$y=-\frac{3}{7} x-2$$

In Exercises \(27-38,\) graph each linear equation using the slope and y-intercept $$y=-\frac{2}{3} x+4$$

Determine whether the lines through each pair of points are parallel, perpendicular, or neither. $$(-2,-15)\( and \)(0,-3) ;(-12,6)\( and \)(6,3)$$