find an equation where the slope is 3 and contains the point (-1,4)

Answer 1

Using point slope form:

y-y₁=m(x-x₁)

Plug m=3 in for slope, x₁=-1 and y₁=4 in for the point

y-4=3(x-(-1))

y-4=3(x+1)

rewrite into the desired format, if needed

Using slope intercept form:

y=mx+b

Plug in slope m=3

y=3x+b

Plug in the point to find the b that makes it valid

4=3(-1)+b

4=-3+b

7=b

plug b=7 in

y=3x+7