the slope - intercept form of a linear equation is y = mx + b, where x and y are coordinates of an ordered…

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}

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}

Answer

Answer:

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

Explanation:

Step1: Empezar con la ecuación $y=mx + b$

$$y=mx + b$$

Step2: Restar $b$ de ambos lados

$$y - b=mx + b - b$$ $$y - b=mx$$

Step3: Dividir ambos lados por $x$ (suponiendo $x\neq0$)

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