SOLUTION: Use the given conditions to write an equation for the line in slope-intercept form. Passing through (2, 3) and (5, 2)

Algebra ->  Linear-equations -> SOLUTION: Use the given conditions to write an equation for the line in slope-intercept form. Passing through (2, 3) and (5, 2)      Log On


   

Question 1176656: Use the given conditions to write an equation for the line in slope-intercept form.
Passing through (2, 3) and (5, 2)
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,+3) and (5, 2) 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=%282-3%29%2F%285-2%29
m=-1%2F3

so far we have
y=+-%281%2F3%29x%2Bb........use one point to calculate b
3=+-%281%2F3%29%282%29%2Bb
3=-2%2F3%2Bb
3%2B2%2F3=b
b=11%2F3

your equation is
y=+-%281%2F3%29x%2B11%2F3