Question

How do you find the slope and intercept of `-2x+3y-6=0`?

Answer 1

slope `= 2/3` , y-intercept = 2

Explanation:

One form of the equation of a straight line is y = mx + c , where m represents the gradient (slope) of the line and c , the y-intercept.
What makes this form useful is that m and c may be extracted quite 'easily'.

Rearrange - 2x + 3y - 6 = 0 into this form.

hence: 3y = 2x + 6

divide both sides by 3 to obtain `y = 2/3 x + 2`

`rArr "slope" = 2/3 " and y-intercept" = 2`

Answer 2

Slope of the given equation is `2/3` and intercept on `y` axis is 2.

Explanation:

`-2x+3y-6=0` can be expressed as `3y=2x+6` or
`y=2x/3+2`. As a linear equation in slope intercpt form `y=mx+c` has `m` as slope and `c` as intercept on `y` axis, slope of the given equation is `2/3` and intercept on `y` axis is 2.