use the fact that for points (a1, D1) and (a2, 2) in the coordinate plane, we can calculate the slope of the line through these points using he following formula. Slope = Ay = D2 - D1 Ax 22 - 21 Find the slope of the line through the points (3.2, 4.7) and (7.1, 5.4). (Round your answer to two decimal places.) The base of a ladder is 3 horizontal feet from the wall where its top rests (see figure). The slope of the line made by the ladder is 9.5. What is the vertical height of the top of the ladder? (Assume that the positive direction points from the base of the ladder toward the wall.) ft height The speed of sound in air changes with the temperature. When the temperature T is 32 degrees Fahrenheit, the speed S of sound is 1087.5 feet per second. For each degree increase in temperature, the speed of sound increases by 1.1 feet per second. (Round your answers to two decimal places.) (a) Explain why speed S is a linear function of temperature 7 Because S always increases by 1.1 when T increases by S has a constant rate of change and is a linear function of T. Identify the slope of the function. (b) Use a formula to express S as a linear function of T. S = (c) Solve for T in the equation from part (b) to obtain a formula for temperature T as a linear function of speed S. T = (d) Explain in practical terms the meaning of the slope of the function you found in part (c). The slope of T as a linear function of S is ,and this means that an increase in the speed of sound by 1 foot per second corresponds to an increase of degree in temperature. 8. [-/0.27 Points] DETAILS CRAUDCOLALG6 3.2.SB.005.MI MY NOTES ASK YOUR TEACHER Suppose that f is a linear function such that f(3) = 3 and f(5) = 13. What is the slope m of ? B. [-/0.27 Points] DETAILS CRAUDCOLALG6 3.2.SB.011. MY NOTES ASK YOUR TEACHER Suppose that f is a linear function with slope 4 and that f(2) = 7. Find the equation for f. (Use x as the variable.) F( x ) = 10. [-/0.27 Points] DETAILS CRAUDCOLALG6 3.2.SB.014.MI. MY NOTES ASK YOUR TEACHER Suppose that f is a linear function such that f(5) = 3 and f(9) = -4. Find the equation for f. (Use x as the variable.) ( x ) = 11. [-/0.27 Points] DETAILS CRAUDCOLALG6 3.2.SB.015. MY NOTES ASK YOUR TEACHER "This exercise explores elementary properties of linear functions. Suppose that y is a linear function of x. The slope is 3.4. An increase of 4 units in x causes what change in y? units Need Help? Read It 12. [-/0.27 Points] DETAILS CRAUDCOLALG6 3.2.SB.016. MY NOTES ASK YOUR TEACHER This exercise explores elementary properties of linear functions. Suppose that y is a linear function of x. The slope is 4.4. A of 4 units in x causes what change in y? (Round your answer to one decimal place.) units