Can someone explain to me how to convert standard form to slope-intercept form and vice-versa? Thanks.

One of my problems is: "Convert 3x+4y=12 to slope-intercept form".

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- Feb 9th 2009, 08:59 PMFlareHazardStandard form/Slope-intercept form
Can someone explain to me how to convert standard form to slope-intercept form and vice-versa? Thanks.

One of my problems is: "Convert 3x+4y=12 to slope-intercept form". - Feb 9th 2009, 09:04 PMmollymcf2009
Standard form of a line equation is:

Ax + By = C ,

For your problem:

3x + 4y = 12 is in standard form.

To put it into slope-intercept form, y= mx +b, just solve the equation for y.

y = mx + b, where m is your slope and b is your y intercept.

To go from slope-intercept to standard form, you just need to get x & y on the same side. Do this by subtracting your mx term.