which of the following equations of a line perpendicular to the line y=-1/3x+1 , passing through the point (2,7)?

Mathematics · Middle School · Mon Jan 18 2021

Answered on

Given the points:

(2, 7)

x1= 2

y1 = 7

Write the equation of the line

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

Point-slope form:

y - y1 =m(x -x1)

Solution:

Before we can write in point-slope form, we must first find the slope of the line, we can find the slope by using the slope formula.

m = y1/x1

m = 7/2

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

y - 7= 7/2 ( x -2)

Final answer:

y - 7= 7/2 ( x -2)