SOLUTION: find the equation of the line with x-intercept 4 and y-intercept 8

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Question 664380: find the equation of the line with x-intercept 4 and y-intercept 8

Found 3 solutions by Alan3354, MathLover1, ReadingBoosters:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
find the equation of the line with x-intercept 4 and y-intercept 8
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For intercepts (A,0) & (0,B), it's
Bx + Ay = A*B
-------------------
8x + 4y = 32
2x + y = 8

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

given:
x-intercept=+4 and
y-intercept+=8
so, you are given these two points: (4,0) and (0,8)
now we can find the equation of a line passing through these two points:

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) = (4, 0) and (x2, y2) = (0, 8).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%288-0%29%2F%280-4%29+=+-2.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or -2%2A4+%2Bb+=+8. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=0--2%2A4+=+8.

y=(-2)x + (8)

Your graph:




so, the equation of the line with x-intercept=4 and y-intercept=8 is
y=-2x+%2B+8

Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Using (4,0) and (0,8)
the slope is determined as
(rise) 8-0 / (run) 0 - 4
8/-4 = -2
...
Given y intercept and calculating slope we have the linear equation
y = -2x + 8
..
Check
y = -2(4) + 8; y = 0
y = -2(0) + 8; y = 8
...
graph%28300%2C200%2C-5%2C10%2C-5%2C20%2C%28-2x%2B8%29%29
.........................
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