How to find an equation of the line containing the given pair of points (-7, -4) and ( -2, -6)?

xcopyv4n

xcopyv4n

Answered question

2023-03-07

How to find an equation of the line containing the given pair of points(-7, -4) and ( -2, -6)?

Answer & Explanation

Nhluvukoj6m

Nhluvukoj6m

Beginner2023-03-08Added 6 answers

First, we need to determine the slope of the line running through the two points. The slope can be found by using the formula: m = y 2 - y 1 x 2 - x 1
Where m is the slope and ( x 1 , y 1 ) and ( x 2 , y 2 ) are the two points on the line.
The result of substituting the values from the problem's points is:
m = - 6 - - 4 - 2 - - 7 = - 6 + 4 - 2 + 7 = - 2 5 = - 2 5
We can now use the point-slope formula to write and equation for the line. The point-slope formula states: ( y - y 1 ) = m ( x - x 1 )
Where m is the slope and ( x 1 y 1 ) is a point the line passes through.
The values from the problem's initial point and the slope we determined are substituted, and the result is:
( y - - 4 ) = - 2 5 ( x - - 7 )
( y + 4 ) = - 2 5 ( x + 7 )
We may also insert the values from the second point in the issue with the slope we calculated, resulting in:
( y - - 6 ) = - 2 5 ( x - - 2 )
( y + 6 ) = - 2 5 ( x + 2 )

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