Question

Which inequality is represented by the graph?



Responses

y>−32x−2
y greater than negative 3 halves x minus 2

y≤−32x−2
y less than or equal to negative 3 halves x minus 2

y<−32x−2
y less than negative 3 halves x minus 2

y≥−32x−2
y greater than or equal to negative 3 halves x minus 2
Coordinate graph showing a range of negative five to five on the x and y axes. A dotted line is drawn on the graph, crossing through the points begin ordered pair negative two comma one end ordered pair and begin ordered pair zero comma negative two end ordered pair. The area above the line is shaded.

Answer 1

y > −3/2 x − 2

Work: the line through (−2,1) and (0,−2) has slope (−3)/2 and intercept −2, so y = −(3/2)x − 2. The line is dotted (no equality) and the region above it is shaded, so y > −(3/2)x − 2.