Question

How do you find the slope and intercept of `2y = 4x - 5`?

Answer 1

Slope of the line is `2` and intercept on `y`-axis is `-5/2`.

Explanation:

Slope intercept form of equation of a line is `y=mx+c`, where `m` is the slope of line and `c` is its intercept on `y`-axis.

As such one needs to solve an equation for `y` and then coefficient of `x` will give slope and constant term, the intercept on `y`-axis.

As `2y=4x-5` can be written as (dividing each term by `2`)

`y=2x-5/2`

Hence, the the slope of the line is `2` and intercept on `y`-axis is `-5/2`.

graph{y=2x-5/2 [-4.96, 5.04, -3.48, 1.52]}