How do you find the x and y intercepts of 4x=-1/2y-14x=−12y−1?

1 Answer
smendyka
Jul 7, 2017

See a solution process below:

Explanation:

xx-intercept:

To find the xx-intercept, substitute 00 for yy and solve for xx:

4x = -1/2y - 14x=−12y−1 becomes:

4x = (-1/2 xx 0) - 14x=(−12×0)−1

4x = 0 - 14x=0−1

4x = -14x=−1

(4x)/color(red)(4) = -1/color(red)(4)4x4=−14

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

x = -1/4

The x-intercept is: -1/4 or (-1/4, 0)

y-intercept:

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

4x = -1/2y - 1 becomes:

(4 * 0) = -1/2y - 1

0 = -1/2y - 1

0 + color(red)(1) = -1/2y - 1 + color(red)(1)

1 = -1/2y - 0

1 = -1/2y

1 xx color(red)(-2) = 1/-2y xx color(red)(-2)

-2 = 1/color(red)(cancel(color(black)(-2)))y xx cancel(color(red)(-2))

-2 = y

y = -2

The y-intercept is: -2 or (0, -2)

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