Question

Write an inequality and that represents the graph.

Answer 1

Answer:

Part 16) $y\leq -x+2$

Part 17) $y>\frac{1}{3}x-1$

Step-by-step explanation:

Part 16) we know that

The solution of the inequality is the shaded area below the solid line

The slope of the solid line is negative

The y-intercept of the solid line is the point (0,2)

The x-intercept of the solid line is the point (2,0)

The slope of the solid line is

$m=(0-2)/(2-0)=-1$

The linear equation of the solid line in slope intercept form is

$y=-x+2$

therefore

The inequality that represent the graph is

$y\leq -x+2$

Part 17) we know that

The solution of the inequality is the shaded area above the dashed line

The slope of the dashed line is positive

The y-intercept of the dashed line is the point (0,-1)

The x-intercept of the dashed line is the point (3,0)

The slope of the dashed line is

$m=(0+1)/(3-0)=\frac{1}{3}$

The linear equation of the dashed line in slope intercept form is

$y=\frac{1}{3}x-1$

therefore

The inequality that represent the graph is

$y>\frac{1}{3}x-1$