Answer:
y=6x+7
Step-by-step explanation:
We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point given and a slope from the equation. We will chose point-slope since we have a point and can find the slope.
Point slope:[tex]y-y_1=m(x-x_1)[/tex]
We will substitute [tex]m=6[/tex] and [tex]x_1=-1\\y_1=1[/tex].
[tex]y-1=6 (x-(-1))[/tex]
We can simplify and convert to slope intercept form.
[tex]y-1=6 (x-(-1))\\y-1=6(x+1)\\y-1=6x+6\\y=6x+6+1\\y=6x+7[/tex]
