Indicator 15 – Standard and Point-Slope Form AlgebraName______

Determine whether the rate of change is constant. If it is, find the rate of change and explain what it represents.

Turtle Walking
Time (min) / Distance (m)
1 / 6
2 / 12
3 / 15
4 / 21

1. 2.

Airplane Descent
Time (min) / Elevation (ft)
0 / 50,000
4 / 48,800
6 / 48,200
18 / 44,600
Monthly Sales (thousands of $)
Month / Amount
2 / 3
4 / 5
6 / 7
10 / 11

3. 4.

Hot-Air Balloon Height
Time (min) / Height (m)
0 / 14
2.2 / 80
4 / 134
5 / 164

State the independent variable and the dependent variable in the linear relationship. Then find the rate of change for the situation.

5. The cost of dinner is $52 for four children and $104 for eight children.

6. The cost of dinner is $39 for three students and $104 for eight students.

7. Snow is 0.02 m deep after 1 hour and 0.06 m deep after 3 hours.

8. A car is 400 miles from it’s destination after 1 hour and 150 miles from its destination after 5 hours.

Write an equation in point-slope form of a line passing through the given points.

9. (5, -3) and (-5, 4)10. (3, 3) and (3, 2)

11. (-4, 5) and (0, -5)12. (-2, 1) and (0, -5)

Given the following equation, find the x and y-intercepts.

13. 4x + 7 = 014. 2x – y = -5

15. -2y = -6 – 3x16. -25 – 5y – 4x = 0

Write an equation that is equivalent to the given equation.

17. 18. 2x – 3y = 24

19. y – 1 = -3(x + 2)20.

Graph the following equations.

21. x + 4y = 1022. y + 3 = 2(x – 1)23. y = 2

24. x = -325. 3x – 5y = -2526.