MATH SOLVE

2 months ago

Q:
# The equation y=mx+b is the slope-intercept form of a linear equation. Solve y=mx+b for m

Accepted Solution

A:

Answer:[tex]\large\boxed{m=\dfrac{y-b}{x}}[/tex]Step-by-step explanation:[tex]y=mx+b\to mx+b=y\qquad\text{subtract}\ b\ \text{from both sides}\\\\mx+b-b=y-b\\\\mx=y-b\qquad\text{divide both sides by}\ x\neq0\\\\\dfrac{mx}{x}=\dfrac{y-b}{x}\\\\m=\dfrac{y-b}{x}[/tex]