Question

What is an equation of the line that passes through the points (3,1) and (-3, – 7)?

Put your answer in fully reduced form.

Answer 1

y = 4/3x - 3

Explanation:

Use rise over run to find the slope, (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(-7 - 1) / (-3 - 3)

-8 / -6

= 4/3

Now, plug in the slope and a point into y = mx + b to get the equation:

y = mx + b

1 = 4/3(3) + b

1 = 4 + b

-3 = b

Plug in the slope and y intercept into the equation:

y = 4/3x - 3

So, the equation is y = 4/3x - 3