Question

The equation of a line is x + 5y = 12. What is the y-intercept of the line?

Answer 1

12/5
5/12
-12
12

Answer 2

dude. plug in 0 for x

Answer 3

I honestly don't get any of this.

Answer 4

At y-intercept, x is 0, so you plug in 0 for x, then solve for y.

\(x+5y=12\\~\\0+5y=12\\~\\5y=12\)

Answer 5

so the answer is 5/12?

Answer 6

To solve for y, you would need to divide both sides by 5.

Answer 7

think about a coordinate plane. the y-intercept is where the line intercepts the y-axis. at any point on the y-axis, the x-coordinate is 0. so the coordinate of the y-intercept is always (0, y-intercept). same for the x-intercept. the coordinate of the x-intercept will be (x-intercept, 0)

Answer 8

so what's the answer

Answer 9

the y intercept is the value of the function when you substitute x = 0 and do the necessary calculations. it is where the function crosses the y- axis

Answer 10

so what would the answer be

Answer 11

x + 5y = 12 and x = 0
so 0 + 5y = 12 give 5y = 12
5* 1y = 12
to get 1y divide 5*1y by 5 keep the balance divide the other side = 12/5
y = 12/ 5

(0, 12/5)

Answer 12

Awesome! thanks

Answer 13

you are welcome.