SOLUTION: Write an equation in slope-intercept form for the line through points (2,4) and (6,-2).

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Question 174921This question is from textbook
: Write an equation in slope-intercept form for the line through points (2,4) and (6,-2). This question is from textbook

Found 3 solutions by Alan3354, jojo14344, nerdybill:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation in slope-intercept form for the line through points (2,4) and (6,-2).
-----------
|x y 1|
|2 4 1| = 0
|6 -2 1|
x*(4+2) - y*(2-6) + 1*(-4-24) = 0
6x + 4y = 28
2y = -3x + 14
y = (-3/2)x + 7

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

(2,4) and (6,-2).
First we get the Slope=m thru Point Slope form:
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%28-2-4%29%2F%286-2%29=-6%2F4
m=-3%2F2
Then via Slope-Intercept form: y=mx%2Bb
Thru points (2,4):
4=%28-3%2Fcross%282%291%29%28cross%282%291%29%2Bb
4=-3%2Bb----->b=4%2B3=7 Y-intercept
Thru points (6,-2):
-2=%28-3%2Fcross%282%291%29%28cross%286%293%29%2Bb
-2=-9%2Bb
b=-2%2B9=7
*THEY SHOULD BE EQUAL which is good.
So,via Slope intercept form:highlight%28y=%28-3%2F2%29x%2B7%29 Answer
See graph to verify:

Thank you
Jojo

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
First, determine the slope between the two points:
(2,4) and (6,-2)
m = (y2-y1)/(x2-x1)
m = (-2-4)/(6-2)
m = (-6)/(4)
m = -3/2
.
Next, use the slope above and one (2,4) of the two points provided and plug it into the "point-slope" form:
y-y1 = m(x-x1)
y-4 = (-3/2)(x-2)
y-4 = (-3/2)x - 2(-3/2)
y-4 = (-3/2)x + 3
y = (-3/2)x + 7 (this is what they're looking for)