Please give me answer for 2425 and 26 Identify the intercept

Please give me answer for 24,25 and 26

Identify the intercepts. A) (8, 0), (-8, 0) (0, 4), (0, -4) B)(4, 0), (-4, 0), (0, 8), (0, -8) C) (0, 4), (0, -4) D) (8, 0), (-8, 0) Use the given conditions to write an equation for the line in slope-intercept form. Slope = 6/7, passing through (3, 8) A) y = mx + 38/7 B) y = 6/7x + 38/7 C) y = 6/7x - 38/7 D) y = 6/7x + 3 Solve. A faucet is used to add water to a large bottle that already contained some water. After it has been filling for 4 seconds, the gauge on the bottle indicates that it contains 18 ounces of water. After it has been filling for 11 seconds, the gauge indicates the bottle contains 46 ounces of water. Let y be the amount of water in the bottle x seconds after the faucet was turned on. Write a linear equation that models the amount of water in the bottle in terms of x. A) y = 4x + 35 B)y = -4x + 34 C)y = 1/4 x + 17 D)y = 4x + 2 Solve the problem. A driver wants to gauge the fuel efficiency of her vehicle at speeds of 30 mph and above. She notices that traveling at an average speed of 45 mph results in a rating of 28 mpg, whereas at an average speed of 55 mph, her car rates 23 mpg. Find an equation to model the gas mileage y for an average speed of x mph. Find the slope-intercept form of the equation of the line. A)y = 2x - 11/2 B) y = -1/2 x + 101/2 C) y = -1/2 x - 11/2 D) y = 2x + 101/2

Solution

24) slope = 6/7, passing through ( 3 , 8)

y = mx +c ; 8 = 6*3/7 +c

c = 8 - 18/7 = 38/7

y = 6x/7 + 38/7

7y = 6x +38

25) y be amt of water after x seconds of faucet was opened.

Two points : ( 4, 18) and ( 11, 46)

slope = (46 - 18)/( 11-4) = 28/7 =4

y = mx +c ; y = 4x +c

18 = 16 +c ; c = 2

y = 4x +2