SOLUTION: Find the slope of 10x+2y=-29

Question 1185616: Find the slope of 10x+2y=-29
Found 2 solutions by josgarithmetic, Theo:
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!

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Slope is .
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
your equation is 10x + 2y = -29

convert it to slope intercept form of y = mx + b by doing the following:

start with 10x + 2y = -29
subtract 10x from both sides of the equation to get:
2y = -10x - 29
divide both sides of the equation by 2 to get:
y = -5x - 14.5

the equation is now in slope intercept form of y = mx + b.

m is the slope and b is the y-intercept.

your slope is equal to -5 and your y-intercept is equal to -14.5

that means that y goes down 5 units for every 1 unit that x goes to the right.

the value of y is equal to -14.5 when the value of x = 0.

the graph of both equations is in red.
since the equations are equivalent, they make the same line on the graph.

when x = 0, y = -14.5
when x = 1, y = -5*1 - 14.5 -19.5
when x = 2, y = -5*2-14.5 = -24.5

here's the graph.

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