Question

can you please solve this practice problem for me I really need assistance with this practice problem.

Answer 1

C.

`y=(1)/(3)x+1`

Step-by-step explanation:

The slope-intercept form of the equation of a line is given as;

`y=mx+b`

where m = slope of the line

b = y-intercept of the line.

Let's go ahead and determine the slope of the given line at (-3, 0) and (3, 2) where x1 = -3, y1 = 0, x2 = 3, and y2 = 2 using the below formula;

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ =(2-0)/(3-(-3)) \\ =(2)/(6) \\ \therefore m=(1)/(3) \end{gathered}`

From the given line, we can see that the y-intercept, b, is +1.

Since m = 1/3 and b = 1, our equation of the line can then be written as;

`y=(1)/(3)x+1`