Q45. - Algebra 2

Question

Graph the line that satisfies each set of conditions.

Passes through $\left(3,3\right)$ perpendicular to graph of $y=3.$

Step-by-Step Solution

Answer

The graph of the required line is:

Step 1- Given information

A point $(3,3)$ and an equation $y=3$.

Step 2- Calculation

From given information,

A point $(3,3)$ and $y=3$

Here, x-intercept is:

$0=3$

It is not possible.

Therefore, the x-intercept is not defined.

y- intercept is:

$y=3$

So, the slope of the line is 0.

The slope of the perpendicular line is the opposite reciprocal of 0 is not defined.

Now, start at $(3,3)$ and go to straight line parallel to y-axis then,

We let a new point $\left(3,2\right)$.

Now we draw the line which is contained both the points $(3,3)$ and $\left(3,2\right)$.

Step 3- Graph of the line

The graph of the required line is: