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) (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) (Show Source): You can put this solution on YOUR website!
(2,4) and (6,-2).
First we get the thru Point Slope form:
Then via Slope-Intercept form:
Thru points (2,4):
-----> Y-intercept
Thru points (6,-2):
*THEY SHOULD BE EQUAL which is good.
So,via Slope intercept form: Answer
See graph to verify:
Thank you
Jojo
Answer by nerdybill(7384) (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)
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