Answer:
Both the rate of change and the y-intercept are greater in function L
Step-by-step explanation:
To find which has the greater rate of change and the greater y-intercept, start by modeling the equation in the table. We can do that by first finding the slope using two points and the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (5 - -1)/(1 - -1)
m = 6/2
m = 3
Now using that slope and a point, we can find the equation using point-slope form.
y - y1 = m(x - x1)
y - 5 = 3(x - 1)
y - 5 = 3x - 3
y = 3x + 2
Now we can compare the two equations. First, we know the rate of change is greater in equation L due to the coefficient of x being higher. We also know that the y-intercept is greater due to the constant at the end being greater.
