Question

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

Answer 1

Answer:

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

Step-by-step 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' = $\frac{y_2-y_1}{x_2-x_1}$

               = $\frac{2-1}{0+2}$

               = $\frac{1}{2}$

Now the equation will be,

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