Question

Write the point-slope form of the line that passes through (-8, 2) and is parallel to a line with a slope of -8. Include all of your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.

Answer 1

Parallel lines have the same slope, so since you want a line that is parallel to a line with slope -8, your line will also have slope -8.

The slope-intercept form of the equation of a line is

y = mx + b

where m is the slope, and b is the y-intercept.

You already know you have a slope of -8, so m = -8, and you have

y = -8x + b

Now you need to find the value of b.

Use the point you know and substitute it in for x and y, and solve for b.

y = -8x + b

Use x = -8, and y = 2.

2 = -8(-8) + b

2 = 64 + b

-62 = b

b = -62

Now replace b with -62.

y = -8x + b

y = -8x - 62