Answer:
[tex]y=-\frac{5}{2}-9[/tex]
Step-by-step explanation:
The equation of a line (slope-intercept) form is:
y=mx+b
Where m is the slope, b is the y-intercept, and x and y are the x and y coordinates.
We are given the slope and a x,y coordinate pair, therefore we can use those to solve for b, or the y-intercept by plugging in the given values into the equation:
[tex]6=-\frac{5}{2}*-6+b\\6=\frac{30}{2}+b\\6=15+b\\[/tex]
Subtract 15 from both sides
b=-9
Therefore the equation is:
[tex]y=-\frac{5}{2}-9[/tex]
