The point-slope form of the equation of the line that passes through points (-5,-1) and (10, -7 ) is y-4=1/4 (x-8) what is the slope intercept form of the equation for this line ?

y = x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

y - 4 = (x - 8) ← distribute

y - 4 = x - 2 ( add 4 to both sides )

y = x + 2 ← in slope- intercept form

See the attached picture.

Since ABC is similar to PQR, the corresponding sides' ratio are same.

To find QR, we use the proportion set below:

Cross multiplying and then solving gives us:

To find RP, we use the proportion set below:

Cross multiplying and then solving gives us:

ANSWER:

QR is 4 units

RP is 2 units