Chapter 3

Determine whether each ordered pair is a solution of the given inequality. $$x+y>4:(2,2),(3,2),(-3,8)$$

plot the given point in a rectangular coordinate system. Indicate in which quadrant each point lies. $$(3,5)$$

In Exercises \(1-10,\) find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. \((4,7)\) and \((8,10)\)

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 \(=3,\) passing through \((2,5)\)

Find the slope and the \(y\) -intercept of the line with the given equation. $$y=3 x+2$$

Determine whether each ordered pair is a solution of the given inequality. $$2 x-y<3:(0,0),(3,0),(-4,-15)$$

plot the given point in a rectangular coordinate system. Indicate in which quadrant each point lies. $$(5,3)$$

In Exercises \(1-10,\) find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. \((2,1)\) and \((3,4)\)

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 \(=6,\) passing through \((3,1)\)

Find the slope and the \(y\) -intercept of the line with the given equation. $$y=9 x+4$$

Determine whether each ordered pair is a solution of the given inequality. $$2 x+y \geq 5:(4,0),(1,3),(0,0)$$

plot the given point in a rectangular coordinate system. Indicate in which quadrant each point lies. $$(-5,1)$$

In Exercises \(1-10,\) find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. $$(-2,1) \text { and }(2,2)$$

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 \(=5,\) passing through \((-2,6)\)

Find the slope and the \(y\) -intercept of the line with the given equation. $$y=3 x-5$$

Determine whether each ordered pair is a solution of the given inequality. $$3 x-5 y \geq-12:(2,-3),(2,8),(0,0)$$

plot the given point in a rectangular coordinate system. Indicate in which quadrant each point lies. $$(1,-5)$$

In Exercises \(1-10,\) find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical.. $$(-1,3) \text { and }(2,4)$$

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 \(=7,\) passing through \((-4,9)\)

Find the slope and the \(y\) -intercept of the line with the given equation. $$y=4 x-2$$

Determine whether each ordered pair is a solution of the given inequality. $$y \geq-2 x+4:(4,0),(1,3),(-2,-4)$$

plot the given point in a rectangular coordinate system. Indicate in which quadrant each point lies. $$(-3,-1)$$

In Exercises \(1-10,\) find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. $$(4,-2) \text { and }(3,-2)$$

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 \(=-8,\) passing through \((-3,-2)\)

Find the slope and the \(y\) -intercept of the line with the given equation. $$y=-\frac{1}{2} x+5$$

Determine whether each ordered pair is a solution of the given inequality. $$y \leq-x+5:(5,0),(0,5),(8,-4)$$

plot the given point in a rectangular coordinate system. Indicate in which quadrant each point lies. $$(-1,-3)$$

In Exercises \(1-10,\) find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. $$(4,-1) \text { and }(3,-1)$$

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 \(=-4,\) passing through \((-5,-2)\)

Find the slope and the \(y\) -intercept of the line with the given equation. $$y=-\frac{3}{4} x+6$$

Determine whether each ordered pair is a solution of the given inequality. $$y>-2 x+1:(2,3),(0,0),(0,5)$$

plot the given point in a rectangular coordinate system. Indicate in which quadrant each point lies. $$(6,-3.5)$$

In Exercises \(1-10,\) find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. $$(-2,4) \text { and }(-1,-1)$$

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 \(=-12,\) passing through \((-8,0)\)

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

Determine whether each ordered pair is a solution of the given inequality. $$x<-y-2:(-1,-1),(0,0),(4,-5)$$

plot the given point in a rectangular coordinate system. Indicate in which quadrant each point lies. $$(-3.5,6)$$

In Exercises \(1-10,\) find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. $$(6,-4) \text { and }(4,-2)$$

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 \(=-11,\) passing through \((0,-3)\)

Find the slope and the \(y\) -intercept of the line with the given equation. $$y=10 x$$

Graph each inequality. $$x+y \geq 3$$

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

In Exercises \(1-10,\) find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. \((5,3)\) and \((5,-2)\)

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 \(=-1,\) passing through \(\left(-\frac{1}{2},-2\right)\)

Find the \(x\)-intercept and the \(y\)-intercept of the graph of each equation. Do not graph the equation. \(2 x+5 y=20\)

Find the slope and the \(y\) -intercept of the line with the given equation. $$y=10$$

Graph each inequality. $$x+y \geq 4$$

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

In Exercises \(1-10,\) find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. $$(3,-4) \text { and }(3,5)$$

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 \(=-1,\) passing through \(\left(-4,-\frac{1}{4}\right)\)