SOLUTION: what is the slope of. 3x-8y=4

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Question 351715: what is the slope of. 3x-8y=4
Found 2 solutions by jim_thompson5910, ewatrrr:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3x-8y=4 Start with the given equation.


-8y=4-3x Subtract 3x from both sides.


-8y=-3x%2B4 Rearrange the terms.


y=%28-3x%2B4%29%2F%28-8%29 Divide both sides by -8 to isolate y.


y=%28%28-3%29%2F%28-8%29%29x%2B%284%29%2F%28-8%29 Break up the fraction.


y=%283%2F8%29x-1%2F2 Reduce.


So the equation y=%283%2F8%29x-1%2F2 is now in slope intercept form y=mx%2Bb where the slope is m=3%2F8 and the y-intercept is b=-1%2F2 note: the y-intercept is the point

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi
Note: to determine the slope: solve for y in order to put the equation of the line in the slope-intercept form y = mx + b where m is the slope and b is the y-intercept (the value of y when the line passes thru the y-axis)
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3x-8y=4
3x -4 = 8y
(3/8)x -1/2 = y
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y = (3/8)x -1/2
slope = (3/8) Slope is a positive number, therefore line slants to the right
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(As y varies by 3, x varies in the same direction by 8!)
y-intercept is -1/2 (0,-1/2) a point on the line
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(0, -1/2) and (8, 2.5) and (-8, -3.5) are points on the line