Question

How do you find the slope and y-intercept of the graph of 2x - 5y= 20?

Answer 1

See a solution process below:

Explanation:

We can convert this equation to slope intercept form. The slope-intercept form of a linear equation is: `y = color(red)(m)x + color(blue)(b)`

Where `color(red)(m)` is the slope and `color(blue)(b)` is the y-intercept value.

`2x - 5y = 20`

`-color(red)(2x) + 2x - 5y = -color(red)(2x) + 20`

`0 - 5y = -2x + 20`

`-5y = -2x + 20`

`(-5y)/color(red)(-5) = (-2x + 20)/color(red)(-5)`

`(color(red)(cancel(color(black)(-5)))y)/cancel(color(red)(-5)) = (-2x)/color(red)(-5) + 20/color(red)(-5)`

`y = 2/5x + (-4)`

`y = color(red)(2/5)x - color(blue)(4)`

Therefore:

• The slope is: `color(red)(m = 2/5)`

• The `y`-intercept is: `color(blue)(-4)` or `(0, color(blue)(-4))`