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The equation y=mx+b is the slope-intercept form of a linear equation. Solve y=mx+b for m
4 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]