Question

Find an equation in standard form of the line through p(-5,2) and having the slope -3

Answer 1

Standard like ax+b?

Answer 2

Umm, sorry, was away :(

The formula to find a straight-line equation is
y – y1 = m(x – x1)

Answer 3

Where m is the slope and x1 and y1 is the point. (x,y)

Answer 4

So you do
y - (2) = (-3)(x - (-5))
y - 2 = -3 (x+5)
y - 2 = -3x + -15
y - 2 = -3x -15
y = -3x - 15 + 2
y = -3x - 13

:))

Answer 5

And it's important to always verify your equation every time, you just have to plug the x from the point and find out if y is the same as the y from the point.

y = -3(-5) -13
y = 15 -13
y = 2

So the equation is right.