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9 votes
Write the point slope form of the equation of a line passing through (-1,4) and (-4,2)

User Hitu Bansal
by
3.4k points

1 Answer

25 votes
25 votes

The equation of a line in the point slope form is expressed as

y - y1 = m(x - x1)

Where

m represents slope

y1 represents intial value of y

x1 represents initial value of x

The formula for determining slope is expressed as

m = (y2 - y1)/(x2 - x1)

y2 and x2 are final values of y and x respectively.

From the information given,

x1 = - 1, x2 = - 4

y1 = 4, y2 = 2

Slope = (2 - 4)/(- 4 - - 1)

Slope = - 2/ (- 4 + 1)

Slope = - 2/- 3

m = 2/3

Substituting m = 2/3, y1 = 4 and x1 = - 1 into the point slope equation, it becomes

y - 4 = 2/3(x - - 1)

= y - 4 = 2/3(x + 1)

User DanMan
by
2.6k points
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