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Convert the standard form of an equation to slope-intercept form.

a) y=mx+b
b) y=b+mx
c) x=my+b
d) b=mx+y

User Qin
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1 Answer

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Final answer:

To convert a standard form equation to slope-intercept form, isolate y to one side, ensuring the equation is expressed as y = mx + b, where m is the slope and b is the y-intercept.

Step-by-step explanation:

The question refers to the process of converting the standard form of a linear equation into the slope-intercept form. The slope-intercept form of a linear equation is generally represented as y = mx + b, where m represents the slope and b represents the y-intercept. The slope indicates the steepness of the line, while the y-intercept is the point where the line crosses the y-axis.

When the equation is written as y = a + bx, it's important to recognize that b is still the slope, and a is the y-intercept, according to how the variables are defined in the equation. The process of conversion involves rearranging the equation if necessary, to ensure that y is isolated on one side of the equation and is expressed as a function of x.

User Xolani
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