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

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

Start with the given equation.

Subtract from both sides.

Rearrange the terms.

Divide both sides by to isolate y.

Break up the fraction.

Reduce.

So the equation is now in slope intercept form where the slope is and the y-intercept is note: the y-intercept is the point

Answer by ewatrrr(24785) (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)
.
3x-8y=4
3x -4 = 8y
(3/8)x -1/2 = y
.
y = (3/8)x -1/2
slope = (3/8) Slope is a positive number, therefore line slants to the right
.
(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
.
(0, -1/2) and (8, 2.5) and (-8, -3.5) are points on the line

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