Answer:
The equation best represents the line is:
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
Taking the two points
Determining the slope between the points (0, -1) and (1, 2)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:-1\right),\:\left(x_2,\:y_2\right)=\left(1,\:2\right)[/tex]
[tex]m=\frac{2-\left(-1\right)}{1-0}[/tex]
Refine
[tex]m=3[/tex]
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
As we are given the point (0, -1)
It means at x = 0, y = -1
Thus, the y-intercept b = -1
now substituting b = -1 and m = 3 in the slope-intercept form
y = mx+b
y = 3x + (-1)
y = 3x-1
Therefore, the equation best represents the line is:
