Question

HELP ASAP !!
Write the inequality for the graph. Use the two points shown to find the slope and y-intercept of the boundary line. Write the boundary line in slope-intercept from.

Here is the Question of the problem ↓↓↓

Answer 1

Answer:

$y<\frac{1}{5}x+2$

Step-by-step explanation:

The graph in the attached figure

Find the equation of the dashed line

we have

points (0,2) and (5,3)

Find the slope

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

$m=\frac{y2-y1}{x2-x1}$

substitute the given values

$m=\frac{3-2}{5-0}$

$m=\frac{1}{5}$

Find the equation of the dashed line in slope intercept form

$y=mx+b$

we have

$m=\frac{1}{5}$

$b=2$

substitute

$y=\frac{1}{5}x+2$

Remember that

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

therefore

The equation of the inequality is

$y<\frac{1}{5}x+2$