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

To isolate \( m \) in the slope-intercept form of the linear equation \( y = mx + b \), let's start from that equation:

\[ y = mx + b \]

We want to solve for \( m \). To do this, we can rearrange the equation as follows:

1. Subtract \( b \) from both sides:
\[ y - b = mx \]

2. Now, divide both sides by \( x \) to isolate \( m \):
\[ \frac{y - b}{x} = m \]

Thus, the equivalent equation solved for the slope \( m \) is:

\[ m = \frac{y - b}{x} \]

So, the correct option is:

**m = StartFraction y minus b Over x EndFraction.**