SOLUTION: Tell the answer to, or how to put, 4x-5y=10 -into slope intercept form Tell the answer to, or how to put, y=-3/2x+4 -into standard form

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Question 69685: Tell the answer to, or how to put, 4x-5y=10 -into slope intercept form
Tell the answer to, or how to put, y=-3/2x+4 -into standard form
Answer by bucky(2189) (Show Source):
You can put this solution on YOUR website!
Tell the answer to, or how to put, y=-3/2x+4 -into standard form
The slope-intercept form is in which m and b are constants, in which m is the slope of the graph and b is the value where the graph intercepts the y-axis.
So what you need to do for the first problem is to move the terms around and solve for y to get the equation to match the slope intercept form.

Move the 4x term to the right side of the equation, by subtracting 4x from both sides. This subtraction cancels out the 4x on the left side and makes a -4x appear on the right side as follows:

Now divide all terms on both sides of the equal sign by -5 to get:

When you divide -4 by -5 the answer becomes positive. And dividing +10 by -5 results in -2. So the answer becomes:

The next problem involves putting an equation into standard form. The standard form is:

where a, b, and c are all constants. So what you need to do is take the equation you are given, an equation in slope-intercept form, and rearrange things to get it into standard form. You are given:

Get rid of the denominator of 2 by multiplying all the terms in this equation by 2 to get:

Next, move the -3x term to the other side of the equal sign by adding 3x to both sides. Adding +3x to the right side cancels the -3x. And adding 3x on the left side makes a +3x appear on the left side. The result is:

This is the standard form that you are looking for.
Hope this helps.