How To Find Slope Of Standard Form

Algebra

Algebra
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Standard Form [edit | edit source]

Standard form is another way to write gradient-intercept form (every bit opposed to y=mx+b). Information technology is written every bit Ax+Past=C where A, B, C are all integers. You tin can as well alter gradient-intercept form to standard grade like this: Y=-3/2x+3. Next, you isolate the y-intercept(in this case it is 3) like this: Add 3/2x to each side of the equation to get this: 3/2x+y=3. You tin not have a fraction in standard form then yous solve this. 2(iii/2x+y)=3(two). To get: 3x+2y= 6. Now you accept a standard class equation! Yet, at that place are some rules for standard form. A, B, C are integers (positive or negative whole numbers) No fractions nor decimals in standard form. "Ax" term is positive. If these are not followed, information technology is non standard course. i.e. -1/3x+one/4y=4 is Non standard form.

Solving Slope [edit | edit source]

Solving Standard Form [edit | edit source]

Slope intercept equations (y=mx+b) are the easiest to graph. So if you encounter an equation in standard form that you are required to graph, you lot must convert information technology to gradient intercept form. To do this you must have the equation and solve for Y.

Example:

$9x+7y=-3$

$9x-9x+7y=-3-9x$

$7y=-iii-9x$

${\frac {7y}{7}}={\frac {-3-9x}{7}}$

$y={\frac {-3}{vii}}-{\frac {ix}{7}}10$

That is technically slope intercept form, just if you want to make information technology true (y=mx+b) simply follow the rule of negatives (a - b = a + -b):

$y={\frac {-9}{seven}}x+{\frac {-iii}{7}}$