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 = m = – b m = y –

Respuesta :

y = mx + b
y - b = mx
(y - b) / x = m

so its : m = (y - b) / x.....or m = (y/x) - (b/x)

we know that

The slope-intercept form of a linear equation is

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

where

m is the slope

b is where the line crosses the y-axis

Solve the equation for the slope

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

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

therefore

the answer is

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

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