contestada

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?

Respuesta :


[tex]y = mx + b \\ y - b = mx \\ \frac{y - b}{x} = m[/tex]
calculista

Answer:

[tex]m=\frac{(y-b)}{x}[/tex]

Step-by-step explanation:

we know that

The equation of the line into slope-intercept form is equal to

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-coordinate of the y-intercept

In this problem we need to solve for m

so

Subtract [tex]b[/tex] both sides

[tex]y-b=mx+b-b[/tex]

[tex]y-b=mx[/tex]

Divide by [tex]x[/tex] both sides

[tex](y-b)/x=mx/x[/tex]

[tex]m=\frac{(y-b)}{x}[/tex]

Otras preguntas