Question

A line passes through the points (1, 2) and (4, 4). What is the slope of the line?

A) 1 /4
B) 2 /3
C) 3/ 2
D) 4

Answer 1

Hello!

To find the slope given two points, we will need to use the slope formula.

Slope formula is $\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$.

First, we should assign the given points to x1, y1 and x2, y2. The points (1, 2) can be assigned to x1, y1 and (4, 4) to x2, y2.

Now, substitute the assigned ordered pairs into the formula and simplify.

$\frac{4-2}{4-1} = \frac{2}{3}$

Therefore, the slope of the line is choice B, 2/3.