SOLUTION: Use the given conditions to write an equation for the line in slope-intercept form. Passing through (-2, -5) and (-6, -6)

Algebra ->  Linear-equations -> SOLUTION: Use the given conditions to write an equation for the line in slope-intercept form. Passing through (-2, -5) and (-6, -6)      Log On


   

Question 1176657: Use the given conditions to write an equation for the line in slope-intercept form.
Passing through (-2, -5) and (-6, -6)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
an equation for the line in slope-intercept form:
y=mx%2Bb where m is a slope and b y-intercept
if line passing through (-2,+-5) and (-6, -6) we can use them to find a slope first
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%28-6-%28-5%29%29%2F%28-6-%28-2%29%29
m=%28-6%2B5%29%2F%28-6%2B2%29
m=-1%2F-4
m=1%2F4

so far we have
y=%281%2F4%29x%2Bb........use one point to calculate b
-5=%281%2F4%29%28-2%29%2Bb
-5=-1%2F2%2Bb
b=-5%2B1%2F2
b=-9%2F2

your equation is
y=%281%2F4%29x-9%2F2