SOLUTION: Find the linear equation in standard or slope intercept form given the points (-6,-4) (-2,-2) Could you please show your work so I can figure out where I went wrong!!! Have be

Algebra ->  Linear-equations -> SOLUTION: Find the linear equation in standard or slope intercept form given the points (-6,-4) (-2,-2) Could you please show your work so I can figure out where I went wrong!!! Have be      Log On


   



Question 389457: Find the linear equation in standard or slope intercept form given the points
(-6,-4) (-2,-2)
Could you please show your work so I can figure out where I went wrong!!! Have been working on these for a long time and need a little help.
THANK YOU very much!!!!!

Found 2 solutions by ewatrrr, MathLover1:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
the standard slope-intercept form for an equation of a line y = mx + b
where m is the slope and b the y-intercept.
finding in slope intercept form
(-6,-4) (-2,-2)
m+=%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29
m = [-2-(-4)] /[ -2-(-6)] = 2/4 = 1/2
Slope m = 1/2
y = (1/2)x + b using ordered pair Pt(-2,-2) to solve for b
-2 = (1/2)*-2 + b
-2 = -1 + b
-1 = b
y = (1/2)x - 1


Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

here is your answer:

Solved by pluggable solver: FIND EQUATION of straight line given 2 points
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (-6, -4) and (x2, y2) = (-2, -2).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%28-2--4%29%2F%28-2--6%29+=+0.5.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or 0.5%2A-6+%2Bb+=+-1. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=-4-0.5%2A-6+=+-1.

y=(0.5)x + (-1)

Your graph: