What is the point-slope form of the three lines that pass through (0,2), (4,5), and (0,0)?

Lisantiom

Lisantiom

Answered question

2022-09-28

What is the point-slope form of the three lines that pass through (0,2), (4,5), and (0,0)?

Answer & Explanation

Paige Paul

Paige Paul

Beginner2022-09-29Added 11 answers

The equation of line joining ( x 2 , y 2 ) and ( x 2 , y 2 ) is given by
y - y 1 y 2 - y 1 = x - x 1 x 2 - x 1
while equation in pint slope form is of the type y=mx+c
Hence equation of line joining (0,2) and (4,5) is
y - 2 5 - 2 = x - 0 4 - 0
or y - 2 3 = x 4 or 4y−8=3x or 4y=3x+8 and
in point slope form it is y = 3 4 x + 2
and equation of line joining (0,0) and (4,5) is
y - 0 5 - 0 = x - 0 4 - 0
or y 5 = x 4 or 4y=5x and
in point slope form it is y = 5 4 x
For equation of line joining (0,0) and (0,2), as x 2 - x 1 = 0 i.e. x 2 = x 1 , the denominator becomes zero and it is not possible to get equation. Similar would be the case if y 2 - y 1 = 0 . In such cases as ordinates or abscissa are equal, we will have equations as y=a or x=b.
Here, we have to find the equation of line joining (0,0) and (0,2). As we have common abscissa, the equation is
x=0

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