Answer:
y = 2x - 1
Step-by-step explanation:
[tex]y=mx+b[/tex]
It's an equation of a line in the slope-intercept form.
m - slope
b - y-intercept → (0, b)
Choose any two ordered pairs (x, y) from the given table.
(0, -1) → b = -1, (2, 3).
Calculate the slope.
Use the formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the coordinates of the points:
[tex]m=\dfrac{3-(-1)}{2-0}=\dfrac{4}{2}=2[/tex]
Finally:
[tex]y=2x-1[/tex]
