the slope intercept form of the line in your sketch

In this set of exercises you are to use your knowledge of equations of lines to model the average annual cost of tuition and fees.

1. Cost of Tuition In 2000, the average cost of tuition and fees at private four-year colleges was $16,200, and in 2005 it was $20,100. Sketch a line that passes through the points (2000, 16200) and (2005, 20100).

3. Modeling Tuition Find the slope intercept form of the line in your sketch. What is the y-intercept and does it have meaning in this situation?

4. Predicting Tuition Use your equation to estimate tuition and fees in 2001 and compare it to the known value of $17,300. Estimate tuition and fees in 2010.

5. Public Tuition In 2000, the average cost of tuition and fees at public four-year colleges was $3500, and in 2005 it was $5100. Repeat Exercises 1-4 for these data. Note that the known value for 2001 is $3700.

Solution Summary

This solution applies knowledge of equations of lines to model the average annual cost of tuition and fees.

... 2. Graph 2x+y=6 Find the x and y intercepts. ... 6. Write an equation in slope-intercept form if possible for the line through (0,-3) and (4,0). Make a ...

Graphing : Ordered Pairs, Slopes, Intercepts and Line Equations. ... 31. x - 2y= 4. Graph each line using its y-intercept and slope. 65. 4y + x= 8. ...

...line and y-axis is (0, 2), which verifies the Y-intercept in the ... Use the X- and Y-intercepts to verify the value of the slope, as ... The slope is m=[2-0]/[0-1]=-2. ...

... are the same, but the y-intercepts are different. ... 4 and we have our equation in slope-intercept form. ... Hint: Recall that the slopes of perpendicular lines are ...

... 1)*f(-1)^2/2 = 4/2=2, which is the slope of the tangent line at x=-1, so the equation of the line in slope-point form is. ... y=2x+4 in slope-intercept form. ...

... 6. First, slope=-3/5<0, only A and B have negative slopes. ... x intercept, when y=0, x=5. Only B has x intercept of 5 ...Slope=1/3 Therefore, the line is: y+8=1/3(x-6 ...

... 23. Find the slope and the y-intercept of the line... Give the x-intercepts and y-intercepts of the graph. ... 1; y-intercept: 6 D) x-intercept: -1; y-intercept: -6 ...

... 6. Write the following equation in slope-intercept form. Find the slope m and the y-intercept (0, b). m = b =. ... 39. Write the expression in a + bi form. 40. ...

... The general form of simple linear regression is Y= a + bX Where Y is the dependent variable and X ... The estimated value of Slope = 22.28 Intercept =17.66. ...