Question

A line passes through the points (2, -4) and (4, 2). What is the equation of this line in slope-intercept form?
A. y = 3x – 10
B. y = 2x – 14
C. y = 3x + 14
D. y = x + 4

Answer 1

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{2 - -(4)}{4 - 2} = \frac{2 + 4}{2} = \frac{6}{2} = 3$

   y - y₁ = m(x - x₁)
y - (-4) = 3(x - 2)
   y + 4 = 3(x) - 3(2)
   y + 4 = 3x - 6
       - 4         - 4
         y = 3x - 10

The answer is A.

Answer 2

Answer:

A

Step-by-step explanation: