Question

A line passes through the point (-8, -9) and has a slope of

Answer 1

Answer:

y = -5/4x -19

Step-by-step explanation:

Hi there!

We are given that a line passes through (-8, -9), and has a slope of -5/4

We want to write the equation of the line in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept.

As we're already given that the slope of the line is -5/4, we can immediately plug it into the equation:

y=-5/4x+b

Now we must find b

As the equation passes through the point (-8, -9), (meaning that if we plug the values of (-8, -9) into the equation, we should be getting a true statement), we can use it to solve for b

Substitute -8 as x and -9 as y into the equation:

-9=-5/4(-8)+b

Multiply

-9=10+b

Subtract 10 from both sides

-19=b

Substitute -19 as b

y = -5/4x -19

Hope this helps!