Question

How do you find the slope for 6x+4y=16?

Answer 1

The slope is `-3/2` or `-1.5`.

Explanation:

To find the slope, first make the equation in slope-intercept form (shown below) so that we can find the slope easlier:

To make `y` by itself, first subtract `color(blue)(6x)` from both sides of the equation:
`6x + 4y quadcolor(blue)(-quad6x) = 16 quadcolor(blue)(-quad6x)`

`4y = 16 - 6x`

Now divide both sides by `color(blue)4`:
`(4y)/color(blue)4 = (16-6x)/color(blue)4`

`y = 16/4 - 6/4x`

Simplify:
`y = 4 - 3/2x`

Therefore, the slope is `-3/2` or `-1.5`.

Hope this helps!