Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.

The equation of the graphed line is ____x + ____y = 4.

Answer 1

-1 x + 2y = 4

Explanation

The first step is to get the gradient of the line.

The two points in the line are; (4,0) and (0,2).

slope = (2 - 0)/(0 - 4)

= 2/-4

= -1/2

To get the function we use one of the point (0,2) and a general point (x,y).

1/2 = (y - 2)/(x - 0)

1/2 = (y - 2)/x

(1/2)x = y -2

x = 2y - 4

x - 2y = -4

-1 x + 2y = 4