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 = \frac{y - b}{x}\\)

\\(m = \frac{y}{x} - b\\)

\\(m = y - \frac{b}{x}\\)

Explanation:

Isolate the term containing m

Subtract \(b\) from both sides of the equation:

$$ y - b = mx $$

Solve for m

Divide both sides by \(x\) to isolate \(m\):

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

Answer:

• (A) \(m = yx + b\)
• (B) \(m = \frac{y - b}{x}\) (Correct answer)
• (C) \(m = \frac{y}{x} - b\)
• (D) \(m = y - \frac{b}{x}\)