Question

Find an equation of the line. slope 3; through (-1,7) write the equation in standard form.

Answer 1

y = mx + b
slope(m) = 3
(-1,7) x = -1 and y = 7
now sub and solve for b and tell me what you get

Answer 2

7=-3+b
10=b

Answer 3

correct.
So your equation in slope intercept form is y = 3x + 10
but you need it in Ax + By = C
y = 3x + 10 -- subtract 3x from both sides
-3x + y = 10 -- multiply by -1 to make x positive
3x - y = -10

Do you understand ?

Answer 4

any questions ?

Answer 5

Yes I do , thank you very much !

Answer 6

no problem :)