Question

Find the equation of a line given the point and slope below. Arrange your answer in the form y = mx + b, where b is the constant.

(5, 5)
m = -3

Answer 1

m is the slope and (5,5) is a point on the line. Then for any other point (x,y) on the line you can write:
(y-5)/(x-5) = -3 (definition of slope) then

y-5=-3(x-5) = -3x +15. Solve for y to get it in the slope intercept form;

y = -3x+10

Answer 2

Here is another way of doing it.
You want the form y = mx + b.
You know m is -3, but you don't know b.
That means you will have y = -3x + b
You are given a point, (5, 5).
Plug in the point for x and y and solve for b.
5 = -3(5) + b
5 = -15 + b
10 = b
Now that you know b = 10, just replace it in the equation:
y = -3x + 10

Answer 3

can you help me with a few more?

Answer 4

Sorry, it's very late for me. gtg

Answer 5

i will try.