Question

Write an equation of the line that passes through points (3, 7) and (5, 11).

A. y – 7 = 5(x – 3)
B. y – 7 = 2(x – 3)
C. y + 7 = 5(x – 3)
D. y + 7 = 2(x + 3)

Answer 1

B. y – 7 = 2(x – 3)

Explanation:

First, find the the rate of change [slope]:

-y₁ + y₂\-x₁ + x₂ = m

`(-7 + 11)/(-3 + 5) = (4)/(2) = 2`

Now, according to the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.

* Slope = m

I am joyous to assist you anytime.