Answer:
[tex]y=-5x-1[/tex]
Step-by-step explanation:
we know that
The equation of the line in slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept (value of y when the value of x is equal to zero)
Let
[tex]A(0,-1),B(1,-6)[/tex]
step 1
Find the slope
[tex]m=(-6+1)/(1-0)=-5[/tex]
In this problem the value of b is equal to the y-coordinate point A
so
[tex]b=-1[/tex]
step 2
Find the equation of the line
substitute the values
[tex]y=mx+b[/tex] ----> [tex]y=-5x-1[/tex]
therefore
the function rule is equal to
[tex]y=-5x-1[/tex]
