Question

Which equation represents the line that passes through (-3,5) and is parallel to the graph of y= -2/3x+5

A. Y= -3/2x+1/2
B. Y= -2/3x+3
C. Y= 3/2x +19/2
D. Y= 2/3x +7

Answer 1

Parallel to the graph of y = -2/3x + 5
means that it has the same slope

Rewrite
y = -2/3x + b
plug in the given coordinates to solve for b
5 = -2/3(-3) + b
5 = 2 + b
subtract 2 from both sides
3 = b

plug that back into the equation
y = -2/3x + b
y = -2/3x + 3

The answer is B. y= -2/3x+3

This line is parallel to y = -2/3x + 5 and it passes the point (3, 5).

Hope this helps :)