Question

Find the equation of the linear function represented by the table in slope intercept form:Answer: y =

Answer 1

y=5x-3

Step-by-step explanation:

The slope-intercept form of the equation of a straight line is:

`y=mx+b\text{ where }\begin{cases}m=\text{slope} \\ b=y-\text{intercept}\end{cases}`

First, determine the slope using any two pair of points: (0,-3) and (1,2)

`\begin{gathered} \text{Slope},m=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}} \\ =(2-(-3))/(1-0) \\ m=(5)/(1) \\ m=5 \end{gathered}`

Next, determine the y-intercept:

The y-intercept is the point where x=0.

• From the table, b=-3.

Thus, the required equation is:

`y=5x-3`