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Algebra

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Finding Slope and $y$-Intercept for Standard Form Linear Equation

ALGEBR-21SXQH

If the linear equation $2x-7y=21$ is graphed on the coordinate plane, what will the slope of the line be, and at what point will it cross the $y$-axis?

A

$m=-\cfrac { 2 }{ 7 }$; y-intercept is $3$.

B

$m=\cfrac { 2 }{ 7 }$; y-intercept is $3$.

C

$m=\cfrac { 2 }{ 7 }$; y-intercept is $-3$.

D

$m=\cfrac { 7 }{ 2 }$; y-intercept is $\frac { 21 }{ 2 }$.