Write an equation in point-slope form of the line that passes through the point (2,−8) and has a slope of 4.

y

=

−

7

x

+

6

Step-by-step explanation:

To find the equation for this line we can use the point-slope formula:

The point-slope formula states:

(

y

−

y

1

)

=

m

(

x

−

x

1

)

Where

m

is the slope and

(

x

1

y

1

)

is a point the line passes through.

In this problem we have been given the slope

m

=

−

7

We have also been given a point on the line

(

2

−

8

)

Substituting these into the formula gives:

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x