1. Write an equation in slope-intercept form of the line with the given slope and point: slope = 3 and (1, -2).
Ay = 3x - 5
By = 3x - 2
Cy = 3x + 1
Dy = 3x + 3

  1. Write the equation of the line that passes through (-4, 12) and (7, 23).
Ay = x + 16
By = 3x + 18
Cy = 1/6 x + 16
Dy = 1/3 x + 18

Verified Answer :

  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