Answer
Verified
409.8k+ views
Hint:We know the equation of a line passing through a point and having a slope ‘m’ and with ‘y’ intercept as ‘c’ is given by $y = mx + c$. Here, (x, y) is a variable. We convert the given equation to the slope intercept form. Then comparing the simplified equation with the equation of slope intercept we will get the desired result.
Complete step by step solution:
In the given problem, we are required to find the slope and intercept of the line whose equation is given to us as $3x - 2y = 9$.
The slope intercept form of the equation of a line is $y = mx + c$ where slope of line is given by ‘m’ and y-intercept is given by ‘c’.
So, $3x - 2y = 9$
Shifting term consisting y to right side of the equation,
$ \Rightarrow 3x = 9 + 2y$
$ \Rightarrow 2y = 3x - 9$
Isolating y so as to convert the equation of line to slope and intercept form, we get,
$ \Rightarrow y = \left( {\dfrac{{3x - 9}}{2}} \right)$
Now, we can directly start comparing the equation of the given line with the slope and intercept form of a line and get the values of slope and intercept of the line.
Therefore, On comparing the equation of the line given to us and the slope intercept form of the line, we get,
Slope of the line$ = m = \dfrac{3}{2}$ and y-intercept$ = c = \dfrac{{ - 9}}{2}$.
Note: ‘y’ intercept is defined as a line or a curve crosses the y-axis of a graph. In other words the value of ‘y’ at ‘x’ is equal to zero. Hence, the y intercept of a line can also be found by putting the value of x as zero.
Complete step by step solution:
In the given problem, we are required to find the slope and intercept of the line whose equation is given to us as $3x - 2y = 9$.
The slope intercept form of the equation of a line is $y = mx + c$ where slope of line is given by ‘m’ and y-intercept is given by ‘c’.
So, $3x - 2y = 9$
Shifting term consisting y to right side of the equation,
$ \Rightarrow 3x = 9 + 2y$
$ \Rightarrow 2y = 3x - 9$
Isolating y so as to convert the equation of line to slope and intercept form, we get,
$ \Rightarrow y = \left( {\dfrac{{3x - 9}}{2}} \right)$
Now, we can directly start comparing the equation of the given line with the slope and intercept form of a line and get the values of slope and intercept of the line.
Therefore, On comparing the equation of the line given to us and the slope intercept form of the line, we get,
Slope of the line$ = m = \dfrac{3}{2}$ and y-intercept$ = c = \dfrac{{ - 9}}{2}$.
Note: ‘y’ intercept is defined as a line or a curve crosses the y-axis of a graph. In other words the value of ‘y’ at ‘x’ is equal to zero. Hence, the y intercept of a line can also be found by putting the value of x as zero.
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
Which are the Top 10 Largest Countries of the World?
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Difference Between Plant Cell and Animal Cell
Give 10 examples for herbs , shrubs , climbers , creepers
Differentiate between homogeneous and heterogeneous class 12 chemistry 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
Write a letter to the principal requesting him to grant class 10 english CBSE