Question

3) (ALD3) This graph shows a linear function. Enter the equation of the line i form of y=mx+b that represents the function.

Answer 1

To find the equation of the line we need the slope and the y-intercept

The slope is given by:

$m=\frac{y_2-y_1}{x_2-x_1}$

Using the points given we have tha the slope is:

$\begin{gathered} m=\frac{-3-1}{0-(-5)} \\ m=\frac{-4}{5} \\ m=-\frac{4}{5} \end{gathered}$

The y-intercept is the value of y when x=0; fron the graph we have that b=-3.

Once we have the slope and y-intercept we plug them into the equation; hence the equation we are looking for is:

$y=-\frac{4}{5}x-3$