Question

Which of the following inequalities matches the graph?

graph of an inequality with a solid line through the points (-2, 0) and (0, 3) with shading below the line

y < 1 over 3 x + 3
y less than or greater to 3 over 2 x + 3
y greater than or equal to 3 over 2 x + 3
The correct inequality is not listed.

Answer 1

first find the slope
slope = (y2 - y1) / (x2 - x1)
slope = (3 - 0) / (0 - (-2)
slope(m) = 3/2

now take either of your points..(0,3) and sub it into y = mx + b...
3 = 3/2(0) + b
3 = b
so your equation is : y = 3/2x + 3
a solid line means there is an equal sign in the problem, and shading below the line means it is less then
so your inequality is : y <= 3/2x + 3

Answer 2

K so my answer is C?