JUST A MOM TRYING TO HELP MY CHILD WITH UNDERSTANDING. DON'T KNOW HOW TO SOLVE

Question

THE SECOND PROBLEM

Write equation for each segment. show your work.

(-4,-3) (-3,-3) Y = mx + b

3 = 0(-4) +b
3 = 0 + b
Y = x - 3

(1,-5) (6,-2) Y = mx + b
-5 = 3/5 (1) + b
-5 = 3/5 +b

Don't really know where to go from here

Answer 1

To find the equation for a line we use the formula

Y = mx+b
where m = the slope
where b = the intercept

So you are given two points
(1,5), (6,-2)

You first need to find the slope of that line:
m = (y2-y1)/(x2-x1)

m = (-2-(-5)5)/(6-1)
m = 3/5 <---- slope

now that you have found the slope

Apply the point slope formula:

y - y1 = m(x-x1)

You can use either (1,-5) or (6,-2), it doesn't matter. Just pick one and be consistant.

I will choose (1-5)

so applying the formula:

y - (-5) = 3/5(x-1)

y+5 = (3/5)*x - 3/5

y = 3/5*x - 28/5

It's basically the same as the first problem, but this one has fractions.

Answer 2

Also, for the first question the answer is

y = 0*x - 3

I think you just made a typo

Answer 3

m = (-2-(-5)5)/(6-1)

should be

m = (-2-(-5))/(6-1)
m = 3/5