Which of the following is a correct equation for the line passing through the point (-2,1) and having slope m= 1/2?
1 answer:
Incomplete Question the complete Qs is
Which of the following is a correct equation for the line passing through the point (-2,1) and having slope m = 1/2?
a: y=1/2x+2
b: y=-2x+1/2
c: x-2y=-4
d: y-1=1/2(x+2)
Answer:
The Correct option is c. x-2y=-4
Therefore the correct equation for the line passing through the point (-2,1) and having slope m= 1/2 is
Step-by-step explanation:
Given:
point A(x₁, y₁)=(-2,1)
To Find:
Equation of Line =?
Solution:
Equation of a line passing through a points A( x₁ , y₁) and having slope m is given by the formula,
i.e equation in point - slope form
Now on substituting the slope and point A( x₁ , y₁) ≡ ( -2 , 1) we get
As required
Therefore the correct equation for the line passing through the point (-2,1) and having slope m= 1/2 is
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Answer:
The correct answer is:
and
are the equations that have no solution.
Step-by-step explanation:
First of all, let us have a look at the rules for a pair of lines, that have solution or no solution.
Let the equations be:
and
1. There exists exactly one solution:
2. There exists infinitely many solutions i.e. lines are identical.
3. There exists No solutions i.e. lines are parallel and will never intersect.
Now, let us have a look at the given pair of lines:
Option a)
The ratio:
Hence, the lines are identical, infinite solutions.
Option b)
The ratio:
Hence, exactly one solution.
Option c)
The ratio:
Hence, exactly one solution.
Option d)
The ratio:
Hence, There is no solution.
The correct answer is:
and
are the equations that have no solution.
