Question

Solve the following equation for B
y=mx+b

Answer 1

In the slope intercept form, or y = mx + b, m represents the slope, and b represents the y-intercept.

To solve for b, you just have to replace x and y in the formula with the given coordinates and replace m with the calculated value.

For example, you have to find the equation of a line with the coordinate points (1, -2) and (6, 5). Replace one set of ordered pairs in the slope intercept formula.

Graph both of the coordinate points in a coordinate plane, or a graph, to find it's slope. Use rise over run. Simply count how many points it takes to go the other ordered pair.

The slope of (1, -2) and (6, 5) is 7/5.

If you found the slope, plug those numbers in.

I used (1, -2). I plugged in the slope.
-2 = 7/5(1) + b

You just have to solve for b by simplifying the equation.

Answer 2

The answer is:
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b = y − mx .
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Step-by-step explanation:
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Given:
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y = mx + b ;
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We want to isolate "b" on one side of the equation to solve for "b".
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→ y = mx + b ; Subtract "mx" from BOTH sides of the equation; to isolate "b" one side of the equation; and solve for "b":
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y = mx + b → y − mx = mx + b − mx ;
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→ y − mx = b ; ↔ b = y − mx
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→ b = y − mx .
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