Answer:
[tex]y=-5x+7[/tex]
Step-by-step explanation:
step 1
Find the slope
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
the points (−1,12) and (1,2)
substitute
[tex]m=\frac{2-12}{1+1}[/tex]
[tex]m=\frac{-10}{2}[/tex]
[tex]m=-5[/tex]
step 2
we know that
The equation of the line in slope intercept form is equl to
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
we have
[tex]m=-5[/tex]
[tex]point\ (1,2)[/tex]
substitute in the linear equation and solve for b
[tex]2=-5(1)+b[/tex]
[tex]b=2+5=7[/tex]
therefore
[tex]y=-5x+7[/tex]
