Chapter 5.1, Problem 3STP

For Exercises $1-5,$ choose the correct letter.

The pair of points $(6,y)$ and $(10,-1)$ lie on a line with slope $\frac{1}{4}$.

What is the value of $y$?

A. $-5$

B. $-2$

C. 2

D. $5a$

To determine

The slope of the line.

Answer to Problem 3STP

B is the correct option.

Explanation of Solution

Given information :

Given points are (6, y ) and (10, -1).

Slope of the line is $\frac{1}{4}$ .

Slope of the line with given two points is calculated as,

  $m=\frac{y_2-y_1}{x_2-x_1}$

Put the given values in the formula we get,

  $\begin{array}{l}\frac{1}{4}=\frac{-1-y}{10-6}\\ \frac{1}{4}=\frac{-1-y}{4}\\ 1=-1-y\\ y=-2\end{array}$

Hence B is the correct option.