Question

Passes through (-8, -7), parallel to the graph of y=1/2x-3

Answer 1

Answer:

$y=\frac12x-3$

The answer is the same line as given in the question.

Step-by-step explanation:

Hello!

Slope-intercept Form: $y = mx + b$

• y = output
• m = slope
• x = input
• b = y-intercept

Given our Line: $y=\frac12x-3$

• slope = $\frac12$
• y-intercept =$3$

Parallel lines have the same slope but a different y-intercept, so the second line should have a slope of $\frac12$.

To find the y-intercept, we plug in the x and y values from the point into a blank equation with the slope and solve for b.

• $y = \frac12x + b$
• $-7 =\frac12 (-8) + b$
• $-7 = -4 + b$
• $-3 = b$

The equation is $y=\frac12x-3$, hence the same line.