Function L is represented by the equation y 6x +4. Compare Functions B an determining which one has the greater rate of change a

Question

Luba_88 [7]

3 years ago

6

Function L is represented by the equation y 6x +4. Compare Functions B an determining which one has the greater rate of change a

nd which one has the gie y-intercept. Explain why your answers are correct. Show your work.please

Mathematics

2 answers:

Alenkasestr [34] · Answer 1 · 2022-03-19T00:22:37+03:00

Alenkasestr [34]3 years ago

7 0

Answer:

-1

Step-by-step explanation:

Eva8 [605] · Answer 2 · 2022-03-19T01:43:02+03:00

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.