Write an inequality to represent the graph. a solid line passing through points 0 comma 2 and 4 comma negative 1 with shading below the line y is greater than or equal to negati…

Question

asked Feb 1, 2020 149k views

1 Answer

Alex Nichol · Answer 1 · 2020-02-07T18:30:13+0000

Answer:

$y \leq -(3)/(4)x+2$

y is less than or equal to negative three fourths times x plus 2

Explanation:

step 1

Find the slope of the solid line

we have the ordered pairs

(0,2) and (4,-1)

Find the slope m

m=(-1-2)/(4-0)

m=-(3)/(4)

step 2

Find the linear equation of the solid line in slope intercept form

y=mx+b

we have

m=-(3)/(4)

b=2 ---> the y-intercept is given

substitute

y=-(3)/(4)x+2

step 3

Find the inequality

Remember that the solution is the shaded area below the solid line

therefore

The inequality is

$y \leq -(3)/(4)x+2$

y is less than or equal to negative three fourths times x plus 2