Question

1. Write an equation in slope-intercept form of the line with the given slope and point: slope = 3 and (1, -2).

A. y = 3x - 5
B. y = 3x - 2
C. y = 3x + 1
D. y = 3x + 3

2. Write the equation of the line that passes through (-4, 12) and (7, 23).
A. y = x + 16
B. y = 3x + 18
C. y = 1/6 x + 16
D. y = 1/3 x + 18

Answer 1

1. The linear equation:
y = m x + b
m = 3
- 2 = 3 · 1 + b
- 2 = 3 + b
b = - 5
Answer: A ) y = 3 x - 5
2. We will solve the system of equations:
12 = - 4 m + b / · ( - 1 )
23 = 7 m + b
----------------------
- 12 = 4 m - b
+
23 = 7 m + b
--------------------
11 = 11 m, m = 1, b = 16
Answer: A ) y = x + 16