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A graph the line that passes through the points (1,-5) and (5,7)and determine the equation of the line

User Yuanqiu Li
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Answer:

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Class 11

>>Applied Mathematics

>>Straight lines

>>Various forms of the equation of a line

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Find the equation of the line that passes through the points (7,5) and (−9,5)

Hard

Updated on : 2022-09-05

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.

User Brigadier
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