Question

Write the equation of the line that passes through the points (-3,1) and (-5,8) in fully reduced point-slope form, unless it is a vertical or horizontal line. What is the equation?

Answer 1

The equation of the line passing through the points (-3,1) and (-5,8) is y - 1 = -7/2(x + 3).

Step-by-step explanation:

To find the equation of the line passing through the points (-3,1) and (-5,8), we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) are the coordinates of one of the points and m is the slope of the line. First, let's find the slope:

Slope, m = (y2 - y1)/(x2 - x1) = (8 - 1)/(-5 - (-3)) = 7/(-2) = -7/2

Using the point (-3,1) and the slope -7/2, we can write the equation as y - 1 = -7/2(x - (-3))

y - 1 = -7/2(x + 3)