Rewrite the following equation in standard form.y=7x+8Hint: The standard form of a linear equation is Ax+By=C where A and B are not both zero, and A, B, and C are integers whose GCF is 1.
Q. Rewrite the following equation in standard form.y=7x+8Hint: The standard form of a linear equation is Ax+By=C where A and B are not both zero, and A, B, and C are integers whose GCF is 1.
Move x term to left: To rewrite the equation in standard form, we need to get the x and y terms on one side and the constant on the other side. We start with the given equation:y=7x−8We want to move the 7x to the other side to isolate the y term.
Subtract 7x: Subtract 7x from both sides of the equation to move the x term to the left side:y−7x=−8This is not the standard form yet because the x term should be before the y term.
Rearrange terms: Rearrange the terms to put the x term first:−7x+y=−8Now, we have the x term first, but the coefficient of x is negative. In standard form, the coefficient of x should be positive if possible.
Make x coefficient positive: Multiply the entire equation by −1 to make the coefficient of x positive:−1(−7x+y)=−1(−8)7x−y=8Now the equation is in standard form, with A=7, B=−1, and C=8.
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