Question

Write the inequality for the following graph

Answer 1

Answer:

$y<-3x+3$

Step-by-step explanation:

we know that

The solution for the inequality is the shaded area below the dashed line

The slope of the dashed line is negative

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

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

step 1

Find the slope of the dashed line

with the points (1,0) and (0,3) determine the slope

$m=(3-0)/(0-1)=-3$

The equation of the dashed line in slope intercept form is equal to

$y=mx+b$

we have

$m=-3$

$b=3$ ----> the y-intercept is given

substitute

$y=-3x+3$

Remember that

The solution is the shaded area below the dashed line

therefore

The equation of the inequality is

$y<-3x+3$