Question

How do you find the slope and intercept of `3x+y=6`?

Answer 1

slope = -3 , y-intercept = 6

Explanation:

y=mx+ c , is one form of the equation of a straight line.

where m = gradient (slope) and c ,is the y-intercept.

this is useful as m and c may be read off directly.

the equation 3x + y = 6 ,can be written: y = - 3x +6

hence slope = -3 and y-intercept = 6
here is the graph of the line that you can check.
graph{-3x+6 [-11.25, 11.25, -5.625, 5.63]}