How do you find the slope and intercept of #3x - 7y=21#?
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 )
# -7/-7 y =-3/-7 x + 21/(- 7 ) rArr y = 3/7 x - 3 #
and 'reading off' the values :
# m = 3/7 and c = - 3 #