Question

What is the slope of a line that passes through the point (−5, 3) and is parallel to a line that passes through (2, 13) and (−4, −11)?

Answer 1

Parallel lines are lines which share a slope, if you solve for the slope of your line using: \[\frac{y2 - y1}{x2 - x1}\] you have the slope for any line parallel to the line you state. Use the line you know so use your points (2, 13) and (-4, -11) in the formula I posted.

Answer 2

Two lines which are parallel will have the same slope. If we write the equations of the lines in slope-intercept form, y = mx + b where m is the slope and b is the y-intercept (value of y where x = 0). Use howdomath's formula to get the slope — it's just the rise over the run. Then you use your known point to find the value of b for the new line (when x = -5, y needs to = 3).