Question

Indicate in standard form the equation of the line passing through the given point and having the given slope.

A(5, 5), m = 3

Answer 1

y = mx + b
slope(m) = 3
(5,5)..x = 5 and y = 5
now we will sub and find the y intercept, which is in the b position
5 = 3(5) + b
5 = 15 + b
5 - 15 = b
-10 = b

so our equation is : y = 3x - 10...but we need it in standard form :
Ax + By = C

y = 3x - 10 --- subtract 3x from both sides
-3x + y = -10 -- multiply by -1 to make x positive
3x - y = 10 <== standard form

Answer 2

Thank you! @texaschic101

Answer 3

sure thing :)