Question

Which of the following inequalities matches the graph?

Answer 1

Answer:

the answer is the option D

$5x-y \geq 1$

Step-by-step explanation:

we have

$A(0,-1), B(1,4)$ -----> see the graph

Find the slope m

$m=\frac{4+1}{1-0}$

$m=5$

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

$y=mx+b$

we have

$m=5$

$b=-1$ -----> the y-intercept is the point B

the equation is equal to

$y=5x-1$

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

therefore

the equation of the inequality is

$y\leq 5x-1$

rewrite the inequality

$y-5x\leq -1$ ------> multiply by $-1$ both sides

$5x-y \geq 1$

Answer 2

C. 5x+y less than or equal to 1