Question

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

Answer 1

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

Answer 2

Answer:

$y=-\frac{1}{2}x+2$

Step-by-step 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 =$\frac{y_2-y_1}{x_2-x_1} =\frac{2-0}{0-4} =\frac{2}{-4} =-\frac{1}{2}$

The equation of the line becomes

$y=-\frac{1}{2}x+b$

y intercept is the point where the graph crosses y axis

y intercept is at 2 so b=2

Equation of the line is

$y=-\frac{1}{2}x+2$