Question

Two points are plotted on the grid.

x,. y,.

Which equation in slope-intercept form best represents the line that passes through these two points?
A
y = negative 2 over 3x − 11 over 3

B
y = negative 11 over 3x − 2 over 3

C
y = negative 2 over 3x − 10 over 3

D
y = negative 10 over 3x − 2 over 3

Answer 1

Answer: A

Reason: The two plotted points give slope m = (Δy)/(Δx) = -2/3. Use one point (for example (−1, −3)): −3 = (−2/3)(−1) + b → −3 = 2/3 + b → b = −11/3. So the line is y = −(2/3)x − 11/3 (choice A).