How to put an equation in slope intercept form?

1 answer:

3 0

Hi there!

Keep in mind it depends on the equation.

I will give you an example, though.

Say that we have to put this equation into slope intercept form:

2x - y = -3

All you need to do is flip some of the variables to different sides.

2x + (- y + y) + 3 = (-3 + 3)

2x + 3 = y

y = 2x + 3

This means that the line intercepts 3 on the y-axis and has a positive slope of 2.

But due to lack of context, I do not know what equation you are trying to convert.

I am sorry.

Maybe if you can give me an example of what you are trying to put into slope-intercept form?

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Write an equation of a line that has a y-intercept at (0, -6)

galben [10]

Answer:

$y=x-6$

Step-by-step explanation:

First to write this equation you will need to know <em>slope intercept form</em> which is the equation that the people that wrote this problem are presumably looking for. Slope intercept form can be simply written as $y=mx+b$ . The variable $m$ would be the slope while the variable $b$ would be the y -intercept.

So to find out this we would have to assume that m or the slope would have to be 1 so we would have $y=1x+b$ or $y=x+b$ .

Now we have the first half of the equation we can move on to the variable $b$ or the y-intercept (0,-6) . To find the variable $b$ we will just have to graph the point (0,-6) which as you can see from the picture is the y-intercept and that is -6 units below 0. So the final answer will be $y=x-6$