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

We have been given that 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. We are asked to solve the equation for slope.

First of all, we will subtract 'b'from both sides.

$y-b= mx+b-b$

$y-b= mx$

Let us switch the sides:

$mx=y-b$

Now we will divide both sides by x.

$\frac{mx}{x}=\frac{y-b}{x}$

$m=\frac{y-b}{x}$

Therefore, the value of m is $\frac{y-b}{x}$.