1. A line passes through (2, –1) and (8, 4).

a. Write an equation for the line in point-slope form.
b. Rewrite the equation in standard form using integers. (1 point)

y + 1 = 5/6(x – 2); –5x + 6y = –16
y – 1 = 5/6(x – 2); –5x + 6y = 16
y + 1 = 5/6(x + 2); –5x + 6y = –16
y – 2 = 5/6(x + 1); –5x + 6y = 17
2. In February, you have a balance of $270 in your bank account. Each month you deposit $45. Let January = 1, February = 2, and so on. Write an equation for this situation. Use the equation to find the balance in June. (1 point)

y – 270 = 45(x – 2); $450
y = 45(x – 4); $270
y = 45(x – 4); $180
y – 270 = 45x; $45

5. y = 1/6x + 8
–2x + 12y = –11 (1 point)

Yes, since the slopes are the same and the y-intercepts are the same.
No, since the y-intercepts are different.
Yes, since the slopes are the same and the y-intercepts are different.
No, since the slopes are different.

6. y = 5x + 6

–18x + 3y = –54 (1 point)

No, since the slopes are different.
Yes, since the slopes are the same and the y-intercepts are different.
No, since the y-intercepts are different.
Yes, since the slopes are the same and the y-intercepts are the same.

7. 4x – 12y = 2; (10, –1) (1 point)

y = 3x + 29
y = -1/3x + 29
y = -3x + 29

y = -1/3x + 7

8. 2x + 4y = –10; (4, 2) (1 point)

y = 2x – 6
y = 1/2x – 6
y = 1/2x + 0
y =-2x –

For questions 9–10, tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
9. y = -1/2x – 11
16x – 8y = –8 (1 point)

10. y = -1/6x – 2
12x – 2y = –14 (1 point)