Question

How do you find the slope and y intercept of `3x-7y=20`?

Answer 1

`"slope "=3/7," y-intercept "=-20/7`

Explanation:

`"the equation of a line in "color(blue)"slope-intercept form"` is.

`•color(white)(x)y=mx+b`

`"where m is the slope and b the y-intercept"`

`"rearrange "3x-7y=20" into this form"`

`"subtract "3x" from both sides"`

`-7y=-3x+20`

`"divide all terms by "-7`

`y=3/7x-20/7larrcolor(blue)"in slope-intercept form"`

`"with slope "=3/7" and y-intercept "=-20/7`

Answer 2

Slope=`3/7`

`y`-intercept: `-20/7`

Explanation:

To find the slope and `y`-intercept, we need to change this equation into slope-intercept form

`y=mx+b`

where `m` is the slope and `b` is the `y`-intercept.

We can start by subtracting `3x` from both sides to get

`-7y=-3x+20`

Lastly, we divide all terms by `-7` to get

`y=3/7x-20/7`

Our `m` in this case is `3/7`. This is the slope.

Our `b` in this case is `-20/7`. This is our `y`-intercept.

Hope this helps!