## What is the slope-intercept equation of the line that is perpendicular to y-4=-2/3(x-6) and that passes through (-2, -2)?

Question

What is the slope-intercept equation of the line that is perpendicular to y-4=-2/3(x-6) and that passes through (-2, -2)?

in progress 0
3 years 2021-09-04T20:04:42+00:00 1 Answers 3 views 0

The slope-intercept equation is:

Step-by-step explanation:

Given the equation

comparing it with the point-slope form of the line equation

where m is the slope

• so the slope of the line is -2/3.

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

The slope of the perpendicular line will be: 3/2

The point-slope form of the equation of the perpendicular line that goes through (-2, -2) is:

writing the line equation in the slope-intercept form

subtract 2 from both sides

Thus, the slope-intercept equation is:

Here,

As the slope-intercept form is

where m is the slope and b is the y-intercept

so

m=3/2

b = y-intercept = 1

Therefore, the slope-intercept equation is: