8.7k views
1 vote
What is the equation of the line that passes through the point (6, -6) and has a slope of (-2, -2)

1 Answer

5 votes

Answer:

y = -1/2x -3

Explanation:

The steps to solve this include finding the slope of the line and finding the point where the line crosses the y axis.

Slope is Rise over Run or difference of the y values over the difference of the x values.

Rise = difference between -6 and -2 = 4

Run = difference between 6 and -2 = 8

So slope is 4/8. The line slants downward from left to right so the slope is also negative. Slope = - 4/8 or simplified to - 1 / 2

To find the y intercept, use the slope-intercept form equation:

y = mx + b where m is your slope and b is the y intercept. Solve for b and use one or both of your points that you were given along with your slope.

-6 = -1/2(6) + b OR -2 = -1/2(-2) + b

-6 = - 3 + b -2 = 1 + b

-3 = b -3 = b

Now you can use your calculated slope and calculated b to form your equation.

y = mx + b

y = - 1/2x -3

User Fejd
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories