Question

A line passes through (-5, -3) and is parallel to -3x - 7y = 10. The equation of the line in slope-intercept form is _____.

Answer 1

(-5,-3), Parallel to -3x - 7y = 10, Put in slope-intercept form.

So, we must find the slope of this first.

-3x - 7y = 10

Add 3x to both sides.

-7y = 3x + 10

Divide both sides by -7.

y = -3/7x - 10/7

So, our slope is -3/7.


Remember, if you're looking for a line that is parallel to something, the slopes always stay the same.


*Also remember that slope-intercept form is y = mx+b*

Where m = slope, and b = y-intercept.

We have the points (-5,-3) so our y-intercept is -3.

Our slope is -3/7.

So, simply plug in those values into the slope-intercept form equation! :)

y = mx + b

y = -3/7x - 3

~Hope I helped!~