How do you find the x and y intercept of 4x+y=44x+y=4?

1 Answer
Apr 26, 2017

See the solution process below:

Explanation:

y-intercept:

Substitute 00 for xx and solve for yy:

4x + y = 44x+y=4 becomes:

(4 * 0) + y = 4(40)+y=4

0 + y = 40+y=4

y = 4y=4

The y-intercept is 44 or (0, 4)(0,4)

x-intercept:

Substitute 00 for yy and solve for xx:

4x + y = 44x+y=4 becomes:

4x + 0 = 44x+0=4

4x = 44x=4

(4x)/color(red)(4) = 4/color(red)(4)4x4=44

(color(red)(cancel(color(black)(4)))x)/cancel(color(red)(4)) = 1

x = 1

The x-intercept is 1 or (1, 0)