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

Using the points given we have tha the slope is:

`\begin{gathered} m=(-3-1)/(0-(-5)) \\ m=(-4)/(5) \\ m=-(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=-(4)/(5)x-3`