Find the equation of the vertical line that passes through the point (3,-5).

Mathematics · High School · Thu Feb 04 2021

Answered on

Given:

Points ( 3, -5)

x1 = 3

y1 = -5

Determine the equation of the line.

The equation of the line can be written in point-slope form.

y - y1 = m (x - x1)

Solution:
Before equating for the point-slope form, we must first solve for the slope of the line represented by the formula.

m = rise over run

m = y/x

m = -5/3

Substitute the given values of m, x1, and y1, to the formula for point-slope form.

y - (-5) = -5/3 ( x - 3)

y + 5 = -5/3 (x - 3)

Final answer:

y + 5 = -5/3 (x - 3)