Question

Write an inequality for the given graph.

Answer 1

`y<0.5x-3`

Explanation:

Find the equation of the dashed line

The line pass through the points

`A(0,-3)` -----> is the y-intercept of the line

`B(6,0)`

Find the slope of the line m

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

substitute the values

`m=(0+3)/(6-0)=0.5`

Remember that

The equation of the line into slope intercept form is equal to

`y=mx+b`

we have

`m=0.5`

`b=-3`

substitute

`y=0.5x-3`

Find the inequality

we know that

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

so

`y<0.5x-3`