Question

How do you express the following equation in slope-intercept form: `7x - 5y = 10`?

Answer 1

• The Slope Intercept Form of the equation of a given line is:

`y = mx + c`
where `m` is the Slope of that line, and `c` is the Y intercept

• To get it in the Slope Intercept form, we first transpose `7x` to the Right hand Side
  We get `-5y = -7x + 10`

To have just `y` on the Left Hand Side, we divide both sides by `-5`

`(cancel(-5)y)/cancel(-5) = (-7x)/-5 + 10/-5`

`color(green)(y = (7/5)*x - 2` is the Slope Intercept form of `7x−5y=10`

• The Slope is `7/5` and the Y intercept is `-2`

• The graph will look like this:

graph{y=(7x/5)-2 [-10, 10, -5, 5]}