Question

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

Answer 1

Answer:

y = -1/2x -3

Step-by-step 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