Question

through(1,-5) , slope (2,-3)

Answer 1

Using y = mx + b, insert points (1,-5) and (2,-3) to get:

-5 = 1m + b
-3 = 2m + b

Now, isolate b:
b = -5 - 1m
b = -3 - 2m

Now, set expression b = b
-5 - 1m = -3 - 2m

Now, place like terms on the same side using inverse operations:
2m - m = 5 - 3
m = 2

Now find b:
b = -5 - 1m
b = -5 - 1(2)
b = -5 - 2
b = -7

Therefore the equation of the line is y = 2x - 7

Answer 2

can you help me with one more ?

Answer 3

@mathstudent55

Answer 4

I thought I had done this one already.

Answer 5

@bubblekush, I showed you the steps. You should be able to figure out these kinds of problems yourself now. All you do is insert the points into y = mx + b, then follow the steps I posted.