Answer
Verified
410.4k+ 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
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
Change the following sentences into negative and interrogative class 10 english CBSE
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
How do you graph the function fx 4x class 9 maths CBSE
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
Application to your principal for the character ce class 8 english CBSE
Write a letter to the principal requesting him to grant class 10 english CBSE