Write the equation of the line which passes through (3,-7) and (6,-2) in slope-intercept form.

Question

Any help will be appreciated because I am having a hard and difficult time with these equations.Thanks

Answer 1

Slope intercept form is y=mx+b. y and x are variables while m is the slope and b is the y intercept.

 

To find the slope us the formula (y2-y1)/(x2-x1)=m

Make sure the y2 and x2 are from the same ordered pair. Also, make sure the y1 and x1 are from the same ordered pair.

 

To find the y-int, choose an ordered pair and plug it into the y=mx+b equation. You should have already found the slope m from above so you will have a numerical value for y, m, and x. All you will have to solve for is b.

 

m= (-2-(-7))/(6-3)=5/3

 

Finding b:

 

-2=(5/3)(6)+b

-12=b

 

answer:

 

y=(5/3)x-12