Question

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

Answer 1

`y=\frac12x-3`

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

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.