SOLUTION: Write the equation in the slope-intercept form and then find the slope m and y-intercept b of the corresponding line. -8x + 6y - 5 = -7

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Write the equation in the slope-intercept form and then find the slope m and y-intercept b of the corresponding line. -8x + 6y - 5 = -7       Log On


   



Question 222598: Write the equation in the slope-intercept form and then find the slope m and y-intercept b of the corresponding line.
-8x + 6y - 5 = -7

Found 2 solutions by Alan3354, drj:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Write the equation in the slope-intercept form and then find the slope m and y-intercept b of the corresponding line.
-8x + 6y - 5 = -7
-8x + 6y = -2
6y = 8x - 2
y = (4/3)x - 1/3
------------
m = 4/3
b = -1/3

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Write the equation in the slope-intercept form and then find the slope m and y-intercept b of the corresponding line.
-8x + 6y - 5 = -7

Step 1. The slope-intercept form is y=mx+b where m is the slope and b is the y-intercept at x=0 or at point (0,b).

Step 2. Solving yields the following steps.

-8x%2B6y-5=-7

Add 8x+5 to both sides of the equation

-8x%2B6y-5%2B8x%2B5=-7%2B8x%2B5

6y=8x-2

Divide 6 to both sides of the equation

6y%2F6=8x%2F6-2%2F6

y=4x%2F3-1%2F3

Step 3. The slope m=4/3 and y-intercept b=-1/3}}}

Below is the graph and note the slope and y-intercept.

graph%28400%2C400%2C+-10%2C10%2C-10%2C10%2C+4x%2F3-1%2F3%29

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J