Y-intercept of equation

Question

-2y+x=2

Answer 1

Hi Arlene A.

y intercept is -1

There are two ways to calculate the Y-intercept of

-2y + x = 2

One way is to simply set x equal to zero in the equation as given then solve for y as follows:

x = 0

-2y + 0 = 2

-2y = 2

y = 2/-2 = -1

Another way is to put the equation into Slope Intercept Form.

Slope Intercept Form is y = mx + b where m is the slope and b is the y intercept

y = mx + b

-2y + x = 2

-2y = -x + 2

y = (-x/-2) + 2/-2

y = (1/2)x - 1

y = (1/2)x - 1 is in Slope Intercept form b, the y intercept is -1

Finally you can also graph the equation. You can graph it by hand, use a graphing calculator or graph it at Desmos.com

I hope this helps.

Answer 2

Hello Arlene;

To find the y-intercept where the line cuts the y-axis, we put x = 0 to the equation.

-2y + 0 = 2

-2y = 2

y = -1

This line cuts the y-axis at y = -1 where the coordinate is (0, -1)