Question

Find the equation of the graphs indicated below. Clearly specify how you obtained each value in the equation.

Answer 1

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

Explanation:

Since, the graph of the function is a straight line, function defining this function will be a linear function.

Let the equation of the line is,

y = mx + b

where m = slope of the line

b = y-intercept

From the graph,

b = 2

And two points (0, 2) and (-2, 1) lie on this line.

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

=
`(2-1)/(0+2)`

=
`(1)/(2)`

Now the equation will be,

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