Question

Slope of the line passing through the points $(1,5)$ and $(x,6)$ is $\frac{1}{2}$. Then the value of $x$ is

• A. $3$
• B. $-3$
• C. $2$
• D. $-2$

Answer 1

The correct option is A

$3$

Slope(m) of the line formed by joining the points $(x_1,y_1)$ and $(x_2,y_2)$ is given by

$m=\frac{y_2-y_1}{x_2-x_1}$

In the given question, the two points are $P(1,5)$ and $Q(x,6)$

Given, $\text{slope}=\frac{1}{2}$

$⟹\frac{6-5}{x-1}=\frac{1}{2}$

$⟹\frac{1}{x-1}=\frac{1}{2}$

$⟹2=x-1$

$⟹x=3$