how do you write an equation in standard form of the line that passes through (7,-3) and a y intercept of 2

Question

write the equation in standard form

Answer 1

I would start with the form

y = mx + b

and then convert to standard form. Using the given point and the given y-intercept, find the slope from

-3 = 7m + 2 ⇒ m = -5/7

y = (-5/7)x + 2

7y = - 5x + 14

5x + 7y = 14 (standard form)