Answer
384k+ views
Hint: In this question we need to find the slope and intercept of a line whose equation is given to us. To find the slope and intercept of a line from its equation, we first need to convert the given equation of line into slope-intercept form of straight line. The standard form of equation of line is $ y = mx + c $ .
Complete step-by-step solution:
Let us try to find the slope and intercept of a line whose equation is given to us. To find slope and intercept of line we need to convert our given equation into slope-intercept form of straight line. The equation of straight line in slope-intercept form is given by $ y = mx + c $ , where $ m $ is the slope of line and $ c $ is the intercept of line. The slope of a line defines direction and its steepness. The intercept is the point where the line cuts the y-axis.
Equation of the line whose slope and intercept we need to find is $ y = 4x - 2 $ .
We will first convert the given equation of straight line into slope-intercept form of straight line. Since, the given equation of straight line is already in slope intercept form.
Now, we know that in slope-intercept form of straight line $ y = mx + c $ , $ m $ is slope and $ c $ is the intercept of line.
On comparing the given equation of line $ y = 4x - 2 $ and its general equation, we get
$ m = 4 $ And
$ c = - 2 $
Hence the slope is equal to $ 4 $ and the intercept is equal to $ - 2 $ for line with equation $ y = 4x - 2 $ .
Note: Two straight lines are parallel if they same slope and different intercept for, example: $ y = mx + {c_1} $ and $ y = mx + {c_2} $ where $ {c_1} \ne {c_2} $ are parallel. A straight line is perpendicular to $ x $ axis and parallel to $ y $ axis if its equation is of the form $ x = c $ . A straight line is parallel to $ x $ axis and perpendicular to $ y $ axis if its equation of the form $ y = c $ .
Complete step-by-step solution:
Let us try to find the slope and intercept of a line whose equation is given to us. To find slope and intercept of line we need to convert our given equation into slope-intercept form of straight line. The equation of straight line in slope-intercept form is given by $ y = mx + c $ , where $ m $ is the slope of line and $ c $ is the intercept of line. The slope of a line defines direction and its steepness. The intercept is the point where the line cuts the y-axis.
Equation of the line whose slope and intercept we need to find is $ y = 4x - 2 $ .
We will first convert the given equation of straight line into slope-intercept form of straight line. Since, the given equation of straight line is already in slope intercept form.
Now, we know that in slope-intercept form of straight line $ y = mx + c $ , $ m $ is slope and $ c $ is the intercept of line.
On comparing the given equation of line $ y = 4x - 2 $ and its general equation, we get
$ m = 4 $ And
$ c = - 2 $
Hence the slope is equal to $ 4 $ and the intercept is equal to $ - 2 $ for line with equation $ y = 4x - 2 $ .
Note: Two straight lines are parallel if they same slope and different intercept for, example: $ y = mx + {c_1} $ and $ y = mx + {c_2} $ where $ {c_1} \ne {c_2} $ are parallel. A straight line is perpendicular to $ x $ axis and parallel to $ y $ axis if its equation is of the form $ x = c $ . A straight line is parallel to $ x $ axis and perpendicular to $ y $ axis if its equation of the form $ y = c $ .
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Why Are Noble Gases NonReactive class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let X and Y be the sets of all positive divisors of class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
At which age domestication of animals started A Neolithic class 11 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)
Give 10 examples for herbs , shrubs , climbers , creepers
![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)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english 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)
Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)