Find the equation of a line passing through the point (-1, 7) and (5,-4)
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Answer:
Since slope of line passing through two points (x 1 ,y 1) and (x 2 ,y 2) is m= x 2 −x 1 y 2 −y 1
We now find the slope of the line passing through the points (7,5) and (−9,5) as shown below:
m= −9−7
5−5 = −16
0 = 0
Therefore, the slope of the line is 0.
Now use the slope and either of the two points to find the y-intercept.
y=mx+b
5=(0)(7)+b
b=5
Write the equation in slope intercept form as:
y=mx+b
y=(0)x+5
y=5
Hence, the equation of the line is y=5.
y=5
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Class 11
>>Applied Mathematics
>>Straight lines
>>Various forms of the equation of a line
>>Find the equation of the line that passe
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Find the equation of the line that passes through the points (7,5) and (−9,5)
Hard
Solution
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Correct option is A)
Since slope of line passing through two points (x
1
,y
1
) and (x
2
,y
2
) is m=
x
2
−x
1
y
2
−y
1
We now find the slope of the line passing through the points (7,5) and (−9,5) as shown below:
m=
−9−7
5−5
=
−16
0
=0
Therefore, the slope of the line is 0.
Now use the slope and either of the two points to find the y-intercept.
y=mx+b
5=(0)(7)+b
b=5
Write the equation in slope intercept form as:
y=mx+b
y=(0)x+5
y=5
Hence, the equation of the line is y=5