Question

How do you find slope, y intercept and x intercept in an equation y=2x+4?

Answer 1

See a solution process below:

Explanation:

This equation is in 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.

`y = color(red)(2)x + color(blue)(4)`

Therefore:

The slope is: `color(red)(m = 2)`

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

To find the x-intercept, substitute `0` for `y` and solve for `x`:

`y = 2x + 4` becomes:

`0 = 2x + 4`

`0 - color(red)(4) = 2x + 4 - color(red)(4)`

#-color(red)(4) = 2x + 0

`-color(red)(4) = 2x`

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

`-2 = (color(blue)(cancel(color(black)(2)))x)/cancel(color(blue)(2))`

`-2 = x`

`x = -2`

The x-intercept is `x = -2` or `(-2, 0)`