Q46. - Algebra 2

Question

Find the x-intercept and the y-intercept of the graph of each equation. Then graph of the equation.

$y=4$

Step-by-Step Solution

Answer

The x-intercept of the given equation is not existing and the y-intercept is $4.$

Step 1- Given information

A linear equation $y=4$.

Step 2- Concept used

The y-coordinate of the point at which a graph crosses the y-axis is called the y-intercept.

So, the y-intercept is the value of $y$ when $x=0.$

The x-coordinate of the point at which a graph crosses the x-axis is called the x-intercept.

So, the x-intercept is the value of $x$ when $y=0.$

Step 3- To find the x-intercept and y-intercept.

From the given information,

$y=4 \left(1\right)$

Substitute the $y=0$ in the equation (1).

$0=4$

It is not possible.

Therefore, the x-intercept is not existing. 

Now, substitute the $x=0$ in the given equation (1).

$y=4$

Therefore, the y-intercept is $4$and coordinate is $\left(0,4\right).$

Step 4- Graph of the of the given equation

The graph of the given equation is: