# How do you find the slope and intercept of 3x - 7y=21?

Jan 15, 2016

slope = $\frac{3}{7}$

y-intercept = - 3

#### Explanation:

One form of the equation of a straight line is y = mx + c where m represents the gradient ( slope ) and c the y-intercept.

By rearranging 3x - 7y = 21 into this form we can then extract m
and c .

hence: - 7y = - 3x + 21

(dividing both sides by - 7 )

$- \frac{7}{-} 7 y = - \frac{3}{-} 7 x + \frac{21}{- 7} \Rightarrow y = \frac{3}{7} x - 3$

and 'reading off' the values : $m = \frac{3}{7} \mathmr{and} c = - 3$