A few days ago
william5000forever

Find the slope and y-intercept of this equation: 8x+7y=53?

Find the slope and y-intercept of this equation: 8x+7y=53?

Top 4 Answers
A few days ago
Daniel K

Favorite Answer

To easily find the slope and Y-intercept of a equation is always best to isolate the variable y from everything else. So from 8x+7y=53 I can subtract 8x from both sides. Now the equation is 7y=-8x+53, then you divide both sides by seven. So y=-8/7x+53/7 and simply the equation to a decimal form:

y=-1.14x+7.57 (rounded). Now the equation is in a slope-intercept form and you can easily find the slope and y-intercept.

slope: -8/7 or -1.14

y-intercept: 7.57 or 7 4/7

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A few days ago
alicia
Finding the slop and y-intercept use the formula y=mx+b.

The m=slope and b= y-intercept

8x + 7y =53

-8x -8x

7y= -8x + 53

/7 /7 /7

y= -8x + 53

/7 /7

slope is m= negative 8 over 7

and y-intercept is 53 over 7

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A few days ago
Crimson Crow
8x + 7y = 53

-8x -8x

7y = -8x + 53

/7 /7

y = 1 1/7x + 9

y intercept = 9

slope aka gradient of a line 1 1/7

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A few days ago
straighttalk
8x + 7y = 53

-8x -8x

7y = -8x + 53

/ 7 /7 /7

y = -8/7 x + 53/7

The equation for a line is:

y = mx+ b

where m = slope

therefore for your equation

m = -8/7

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