Question

The slope-intercept form of a linear equation is y = mx + b, where x and y are coordinates of an ordered pair, m is the slope of the line, and b is where the line crosses the y-axis.

Which is an equivalent equation solved for the slope, m?

m = yx + b
m = m equals StartFraction y minus b Over x EndFraction.
m = m equals StartFraction y Over x EndFraction minus b. – b
m = y – m equals y minus StartFraction b Over x EndFraction.

Answer 1

Solve y = mx + b for m:

y = mx + b
y − b = mx (subtract b)
m = (y − b)/x (divide by x, x ≠ 0)

So the equivalent equation is m = (y − b)/x — the second choice.