y=-1/2x+4 in x and y intercept form

Answer 1

The x-y intercept form for the equation of a line is x/a + y/b = 1 where the value of "a" turns out to be the x-coordinate of the x-intercept and the value of "b" the y-coordinate of the y-intercept.

To turn the given equation into intercept form here is one technique.

Multiply every term by 2 to clear the equation of the fraction:

2y = -x + 8

Drag the -x to left of equal sign (changing its sign):

x + 2y = 8

Divide every term by 8.

x/8 + y/4 = 1

So the x-coordinate of the x-intercept is 8 (8,0).

The y-coordinate of the y-intercept is 4 (0,4).

You could also turn to intercept form by simply dragging the (-1/2)x term to the left, then dividing every term by 4:

(1/2)x + y = 4

x/8 + y/4 = 1

Note that when x = 0, the result is y/4 = 1, so y = 4. (0,4) is the y-intercept.

When y = 0, x/8 = 1, so x = 8. (8,0) is the x-intercept.

Check it out here:

desmos.com/calculator/rqrb03korf

You can drag the x and y intercept points to different locations to see the values of a and b change. Click the Reset point at the origin to reset a = 8 and b = 4.