Answer:
Since
- The y-intercept is (0, 3)
Therefore, option (A) is true.
Step-by-step explanation:
Determining the slope
Given the points
Finding the slope between the points (-8, 1) and (0, 3)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-8,\:1\right),\:\left(x_2,\:y_2\right)=\left(0,\:3\right)[/tex]
[tex]m=\frac{3-1}{0-\left(-8\right)}[/tex]
[tex]m=\frac{1}{4}[/tex]
Thus, the slope is 1/4.
Determining the y-intercept
We know that the value of y-intercept can be computed by setting the value x= 0 and determining the corresponding value of y.
From the table, it is clear that
at x=0, y = 3
Thus, the y-intercept is (0, 3)
Since
- The y-intercept is (0, 3)
Therefore, option (A) is true.
