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Question

A line passes throught (1, -3) and (-4, 2) Write the equation of the line in slope-intercept from

A
y - 4 = x
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B
y = -x - 2
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C
y = x - 4
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D
y - 2 = x
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E
none of these
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Solution

The correct option is B y = -x - 2
Let the equation of the line be y=mx+c
The line passses through (1,3) and (4,2)
3=m(1)+c
=>3=m+c (i)
2=4m+c (ii)
Subtracting (ii) from (i) we get,
(32)=(m(4m))
=>5=5m
=>m=1
Substitute the value in (i) we get,
3=1+c
=>c=2
Equation of line is
y=x2
=>x+y+2=0
=>y=x2

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