Question

A line with the slope of 1 passes thorough the point ( 8, 1 ) . What is it’s equation in slope intercept form?

Answer 1

First we need to define this equation using point slope form.

Point slope form is represented by the following (x₁ and y₁ represent the given points, and m represents slope)

$Y-Y_1 = m(X-X_1)$

So if we plug in our values, we get

$Y-1 = 1(X-8)\\Y-1 = X-8$

Now, in order to get it into slope-intercept form, we must isolate the Y value

$Y-1 = X-8\\Y= X-7$

So the equation is

Y = X-7