Question

Write the equation in slope intercept form of the line that has a slope of -3 and contains the point (1,1)

Answer 1

Slope is y =mx+b.
Where b is the y-intercept, and m is the slope.

Substitute your slope to be m:

y=-3x+b

Now, substitute (1,1) in to get your y-intercept.

1 = -3(1) +b

1 = -3 +b

To find b, move all to the other side.

1 + 3 = b
4 = b

Therefore:

y=-3x+4