Q44. - Algebra 2

Question

Graph the line that satisfies each set of conditions.

44. Passes through $\left(-4,1\right)$ perpendicular to a line whose slope is $-\frac{3}{2}$.

Step-by-Step Solution

Answer

The graph of the required line is:

Step 1- Given information

A point $(-4,1)$ and slope of a line $-\frac{3}{2}$. 

Step 2- Calculation

From given information,

A point $(-4,1)$ and slope of a line $-\frac{3}{2}$.

The slope of the perpendicular line is the opposite reciprocal of $-\frac{3}{2}$ is $\frac{2}{3}.$

Now, start at $(-4,1)$ and go 2 units up and 3 units right then,

We get a new point $\left(-1,3\right)$.

Now we draw the line which is contained both the points $(-4,1)$ and $\left(-1,3\right)$.

Step 3- Graph of the line

The graph of the required line is: