Question

(5,1) (0,-5)Write an equation that represents the line.Use exact numbers​

Answer 1

Answer:

(5,1) - First

(0, -5) - Second

To make a linear equation, you have to find the slope and the y intercept.

To start, find the slope.

The value of X decreases by 5 and the value of Y decreases by 6.

This was done by using the slope formula.

Thus the slope is, (dont forget rise over run!)

-$\frac{6}{5}$

Now we have y = - $\frac{6}{5}$ + b

Use the slope and input one of the coordinates to solve for b (the y-intercept)

$1 = -\frac{6}{5} (5) + b\\1 = 6 + b\\-5 = b$

Therefor the linear equation for the line is

y = $-\frac{6}{5} x -5$