Question

Find the slope of the line whose equation is 6x+3y=11

Answer 1

Answer: slope = -2

Explanation:

Our task is to find the slope of the line, given that its equation is
`6x+3y=11`.

First, we are going to convert it to slope-intercept. Subtract 6x from both sides:

`3y=11-6x`

`3y=-6x+11`

Divide both sides by 3:

`y=-\cfrac{6}{3}x+\cfrac{11}{3}}`

`y=-2x+\cfrac{11}{3}`

The slope is the number before x, which in this case is -2.

`\therefore` slope = -2

Answer 2

m = -2

Explanation:

The slope-intercept form is y = mx + b

m = the slope

6x + 3y = 11

3y = -6x + 11

y = -2x + 11/3

m = -2

So, the slope is -2.