Question

Write the equation of the line that passes through the given points. ​(0​,1​) and ​(7​,7​)

Answer 1

`(6)/(7) x + 1`

STEPS

We will start by finding the slope using the point slope equation m = y_2 - y_1 / x_2 - x_1. With (0,1) being the first point and (7,7) being the second.

m =

`(7 - 1)/(7 - 0) = (6)/(7)`

Now that we have our slope, we will use the equation y = m(x - x_1) - y_1 with the slope we found and our first point.

y =

`(6)/(7) (x - 0) + 1`