SOLUTION: Can you explain to me the steps to solve this equation. It says "State the slope and the y-intercept of the graph of 10x-13y=36."

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Question 73772: Can you explain to me the steps to solve this equation.
It says "State the slope and the y-intercept of the graph of 10x-13y=36."
Answer by bucky(2189) (Show Source):
You can put this solution on YOUR website!
Rearrange the equation into the form:
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When you get the equation into this form, you will be able to read the slope and the y-intercept
directly. The slope will be m ... the multiplier of x, and the y-intercept will be b.
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Let's do this problem as an example of how you do this. Start with:
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10x-13y=36
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Remove the 10x from the left side by subtracting 10x from both sides. This results in:
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-13y = -10x + 36
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Then solve for +y by dividing both sides of the equation (all terms) by -13. You get:
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and this simplifies to:
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Compare this equation to the slope intercept form of y = mx + b. They are the same ...
y on the left side, an x term with a multiplier on the right side and a constant on the right
side.
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All you need to do now is to say that the multiplier of the x term is the slope,
and the constant term is the y-intercept. Note that it is more standard
to put the negative term in the numerator than in the denominator. Therefore, it would
be more in line to say that the y intercept is .
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Hopefully this will give you a way to find the slope and y-intercept when you have the
equation in a form other than the slope intercept form. If you are given the problem
already in slope intercept form you could say the answer directly. For example, what is
the slope and y-intercept of the equation y = 4x +6 ??? The immediate answer is that the
slope is 4 and the y-intercept is + 6.