Answer: y=-3x-14
Step-by-step explanation:
The equation of a line is y=mx+b.
Mx is the slope so insert the coordinates into slope formula:
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
[tex]m=\frac{10-7}{-8-(-7)}[/tex]
[tex]m=\frac{3}{-1}[/tex]
[tex]m=-3[/tex]
To find b, we insert one of the coordinates into the part of the equation we have found so far.
y=mx+b
y=-3x+b
7=-3(-7)+b
7=21+b
7-21=21-21+b
-14=b
Now put it all together and the equation is y=-3x-14
