Question

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

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