Slope-intercept form: y = mx + b
[m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis]
For lines to be parallel, their slopes have to be the same.
Since you know:
m = 2 Then the parallel line's slope is also 2, so plug it into the equation
y = mx + b
y = 2x + b To find b, plug in the point (-3, 1) into the equation
1 = 2(-3) + b
1 = -6 + b Add 6 on both sides to get "b" by itself
1 + 6 = -6 + 6 + b
7 = b
y = 2x + 7 Your answer is D
