Answer
396.9k+ views
Hint: We first try to find the characteristics of the line $5x-2=0$. We find the relation of the slope of the line with the angle it makes with the positive X-axis. We also find the point at which it intersects the Y-axis.
Complete step-by-step solution:
We need to find the slope and y-intercept of the function $5x-2=0$.
The given line $5x-2=0$ can be converted to $x=\dfrac{2}{5}$.
We know that any equation of the form $x=c$ where $c$ is a constant will be a vertical line parallel to the Y-axis. The slope of these equations is always undefined.
Slope is usually defined by the ratio tan of the angle made by a line with the positive X-axis.
In case of vertical lines, they make ${{90}^{\circ }}$ with the X-axis.
We also know $\tan 90$ is undefined. Therefore, the slope of $5x-2=0$ is undefined.
Now we find the y-intercept of $5x-2=0$.
As we know that the line is parallel to the Y-axis and we know that parallel lines don’t touch or intersect each other ever. Therefore, there is no y-intercept of the function $5x-2=0$.
Note: We can also take the equation as a function of $x$ where $f\left( x \right)=5x-2$. We know that the slope of any function is the differentiated form of the function equal to $\dfrac{dy}{dx}$. In the function of as function $y$ is not mentioned and we have that $5x-2=0$, we can convert the equation to $x=\dfrac{2}{5}$ which gives $dx=0$. Division by zero is undefined. Therefore, the slope for $5x-2=0$ is undefined.
Complete step-by-step solution:
We need to find the slope and y-intercept of the function $5x-2=0$.
The given line $5x-2=0$ can be converted to $x=\dfrac{2}{5}$.
We know that any equation of the form $x=c$ where $c$ is a constant will be a vertical line parallel to the Y-axis. The slope of these equations is always undefined.
Slope is usually defined by the ratio tan of the angle made by a line with the positive X-axis.
In case of vertical lines, they make ${{90}^{\circ }}$ with the X-axis.
We also know $\tan 90$ is undefined. Therefore, the slope of $5x-2=0$ is undefined.
Now we find the y-intercept of $5x-2=0$.
As we know that the line is parallel to the Y-axis and we know that parallel lines don’t touch or intersect each other ever. Therefore, there is no y-intercept of the function $5x-2=0$.
![seo images](https://www.vedantu.com/question-sets/453aa1a0-7ec5-489c-9113-8219d5ac63683164581257798297308.png)
Note: We can also take the equation as a function of $x$ where $f\left( x \right)=5x-2$. We know that the slope of any function is the differentiated form of the function equal to $\dfrac{dy}{dx}$. In the function of as function $y$ is not mentioned and we have that $5x-2=0$, we can convert the equation to $x=\dfrac{2}{5}$ which gives $dx=0$. Division by zero is undefined. Therefore, the slope for $5x-2=0$ is undefined.
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Bimbisara was the founder of dynasty A Nanda B Haryanka class 6 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
How do you graph the function fx 4x class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)