Question

What is the linear equation foe the following graph ?

Answer 1

y = 1/2 x + 2

Step-by-step explanation

The slope-intercept form of the equaiton of a line is:

`y=mx+b`

Where m is the slope and b is the y-intercept.

The y-intercept is the y-value where the graph intersects the y-axis. For this line, the y-intercept is 2.

The slope of a line that passes through points (x1, y1) and (x2, y2) is:

`m=(y_1-y_2)/(x_1-x_2)`

In this graph we can take any pair of points to find the slope. Using points (0, 2) and (-4, 0):

`m=(2-0)/(0-(-4))=(2)/(4)=(1)/(2)`

Therefore, the equation is:

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