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!
