How do you find the slope and intercept of $4 x - 7 y = 21$ $4x-7y=21$ ?

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Answer 1 · 2017-09-06T20:58:45

see below.

When a linear equation is arranged in the form:

$y = m x + c$ $y = color(blue)(m)x + color(blue)(c)$

$m$ $color(blue)(m)$ is the gradient(slope) and $c$ $color(blue)(c)$ is the $y$ $y$ axis intercept.

$4 x - 7 y = 21$ $4x - 7y = 21$

Subtract $4 x$ $4x$ from both sides: $- 7 y = - 4 x + 21$ $- 7y = -4x +21$

Divide by $- 7$ $-7$

$y = \frac{4}{7} x - 3$ $y = 4/7x - 3$

$m = \frac{4}{7}$ $color(blue)(m) = 4/7$

$c = - 3$ $color(blue)(c) = -3$

How do you find the slope and intercept of 4x-7y=214x−7y=214x-7y=21?