Question

The two of the coordinate points of line $L$ are $(-\frac{7}{2},3)$ and $(-\frac{3}{2},5)$. Find the slope of line $L$.

• A. $-1$
• B. $-\frac{2}{5}$
• C. $\frac{2}{5}$
• D. $1$

Answer 1

The correct option is D $1$

We know that slope of equation $y=mx+c$

Where $m$ is the slope of equation, $c$ is the point of intersection $x$-axis.

The slope of line $Lm=$ $m=\frac{y_2-y_1}{x_2-x_1}$

$\Rightarrow m=\frac{5-3}{-\frac{3}{2}-\left(\frac{7}{2}\right)}$

$\Rightarrow m=\frac{2(5-3)}{-3+7}$

$\Rightarrow m=\frac{2\times 2}{4}$

$\Rightarrow m=\frac{4}{4}=1$