Question 281376: Find the x intercept and y intercept of the line given by the equation. 5x-8y=-15 Found 2 solutions by subudear, oberobic:Answer by subudear(62) (Show Source):
You can put this solution on YOUR website! Standard line equation of form y = mx + c
where m is the slope of line and c is the y intercept.
Now equation of line given is 5x - 8y = -15
converting it to standard form we will get
8y = 5x + 15
or
y = 5/8*x + 15/8
Now y intercept is 15/8
we can finsd x intercept by replacing y by 0 so we get
x = -3
x intercept is -3
You can put this solution on YOUR website! Start by getting the equation into slope-intercept form: y = mx + b.
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5x -8y = -15
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subtract 5x from both sides...
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-8y = -5x -15
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divide both sides by -8
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y = -5/(-8)x - 5/(-8)
y = 5/8x + 5/8
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The y-intercept is the point where x=0.
y = 5/8(0) + 5/8
y = 5/8
(0, 5/8)
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The x-intercept is the point where y=0.
0 = 5/8x + 5/8
x = -1
(-1,0)
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Graphing is a good way to check.
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