PLEASE HELP M 28 POINTS A. Find an equation in point-slope form for the line having the slope m = 6 and containing the points (7,2)
B. Find an equation in point-slope form for the line having the slope m=-4 and containing the point (1,9).

Part A)

An equation in point-slope form for the line having the slope m = 6 and containing the point (7,2).

Part B)

An equation in point-slope form for the line having the slope m = -4 and containing the point (1, 9).

Step-by-step explanation:

                                                        Part A)

Given

Slope m = 6

Point (7, 2)

To Determine

Find an equation in point-slope form for the line having the slope m = 6 and containing the point (7,2).

Using the point-slope form of the line equation

where

In our case:

substituting the values m = 6 and the point (x₁, y₁) = (7, 2) in the point-slope form of line equation

Therefore, an equation in point-slope form for the line having the slope m = 6 and containing the point (7,2).

                                                       Part B)

Given

Slope m = -4

Point (1, 9)

To Determine

Find an equation in point-slope form for the line having the slope m = -4 and containing the point (1, 9).

Using the point-slope form of the line equation

where

In our case:

substituting the values m = -4 and the point (x₁, y₁) = (1, 9) in the point-slope form of line equation

Therefore, an equation in point-slope form for the line having the slope m = -4 and containing the point (1, 9).

(-5,-28)

i graphed to on desmos.

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk