Question

Which linear inequality is represented by the graph?

y < 3x + 2
y > 3x + 2
y < x + 2
y > x + 2

Answer 1

y > 3x+2

Explanation:

We have 2 points so we can find the slope

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

= (2--7)/(0--3)

= (2+7)/(0+3)

= 9/3

= 3

The y intercept is 2, so we can write the equation of the line using the slope intercept form (y=mx+b)

y = 3x+2

The line is dotted so we use either < or > (If it were solid we would use ≤ or ≥)

Since it is shaded above , y is greater than.

y > 3x+2