SOLUTION: The equation of the line with slope -2 that goes through the point ( -7 ,-5 ) can be written in the form y = mx+b where m is________ and B is __________

Algebra ->  Linear-equations -> SOLUTION: The equation of the line with slope -2 that goes through the point ( -7 ,-5 ) can be written in the form y = mx+b where m is________ and B is __________       Log On


   

Question 1071480: The equation of the line with slope -2 that goes through the point ( -7 ,-5 ) can be written in the form y = mx+b where m is________ and B is __________
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Use this helpful example:
Equation of a line with two given points - example

More focused on what you asked, Slope means vertical change divided by horizontal change, and that VALUE is given in the problem description. You have also a given point, and any unknown variable point on the line.

m for slope,
m=%28y-y%5Bo%5D%29%2F%28x-x%5Bo%5D%29

and if you just substitute the given values,
-2=%28y-%28-5%29%29%2F%28x-%28-7%29%29
-2=%28y%2B5%29%2F%28x%2B7%29
-2%28x%2B7%29=y%2B5

y%2B5=-2x-14

y=-2x-14-5

highlight%28y=-2x-19%29
The slope m, was already given in the problem description. The y-intercept is (0,-19).
highlight%28b=-19%29
(You showed your general equation model as y=mx+b, and NOT as y=mx+B).