Function l is represented by the equation y 6x +4. compare functions b an determining which one has the greater rate of change and which one has the gie y-intercept. explain why your answers are correct. show your work.

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.