Q46. - Algebra 2

Question

Graph the line that satisfies each set of conditions.

Passes through $\left(2,-5\right)$ parallel to graph of $\mathbf{x}=4.$

Step-by-Step Solution

Answer

The graph of the required line is:

Step 1- Given information

A point $(2,-5)$ and an equation $x=4$.

Step 2- Calculation

From given information,

A point $(2,-5)$ and $x=4$

Here, x-intercept is:

$x=4$

y- intercept is:

$0=4$

It is not possible.

Therefore, the y- intercept is not defined.

So, the slope of the line is not defined.

Starts from $(2,-5)$ and go straight line parallel to y-axis then,

We let a new point $\left(2,-4\right)$.

Now we draw the line which is contained both the points $(2,-5)$ and $\left(2,-4\right)$.

Step 3- Graph of the line

The graph of the required line is: