Question

Write the equation of the line parallel to the line below and passes through (-1,0)

parallel to the line with the points (0,3) and (1,0)

Answer 1

y = -3x - 3

Explanation:

Going from the point (0,3) to the point (1,0), we see that the rise (change in y) is -3 and the run (change in x) is 1. Thus, the slope of the new line is

m = rise/run = -3/1 = -3.

Using the coordinates of the given point (-1, 0), we'll find the equation of this line in point-slope form:

y - 0 = m(x + 1), or y = -3(x + 1), or (in slope-intercept form) y = -3x - 3