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

the equation is : y = -1/2x + 2

Answer 2

`y=-(1)/(2)x+2`

Explanation:

To find the equation of the line, pick two points from the graph and frame the equation y=mx+b, m is the slope and b is the y intercept.

Two points are (4,0) and (0,2)

slope m =
`(y_2-y_1)/(x_2-x_1) =(2-0)/(0-4) =(2)/(-4) =-(1)/(2)`

The equation of the line becomes

`y=-(1)/(2)x+b`

y intercept is the point where the graph crosses y axis

y intercept is at 2 so b=2

Equation of the line is

`y=-(1)/(2)x+2`