Question

Use the information given to enter an equation in standard form.

(9,8) and (8,6) are on the line.

Answer 1

y = 2x - 10

Explanation:

Put the equation in the form y = mx + b where m is the slope and b is the y-intercept. (For example, y = 3x + 1 would have a slope of 3 and a y-intercept of 1)

First, find the slope by doing change in y divided by change in x:

6 - 8 / 8 - 9 = -2 / -1 = 2

This means the slope is 2 and the equation would be

y = 2x + b

Then, since you know (9, 8) is a solution, you can plug x = 9 and y = 8 into that equation

8 = 2 * 9 + b

8 = 18 + b

b = -10

The equation is y = 2x - 10