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

1 Answer
May 13, 2017

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)