Question

A line passes through the points (7, 10) and (3, 2). What is its equation in slope- intercept form?

Answer 1

In order to get an equation is slope intercept form, we need to find the slope.

The formula is:
y2 - y1
———-
x2 - x1

In this case:
10 - 2
———
7 - 3
=
8/4
2

Now that we know the slope, we can plug it into y = mx + b with x and y being x1 and y1.

y = 2x + b
10 = 2(7) + b
10 = 14 + b
-4 = b

Now, we can construct our equation.

y = 2x - 4

Hope this helped!