Question
Write an equation of the line that passes through P(2,6) and has a slope m = - 5.
Hint:
The point slope form formula of equation of a straight line is given by:
y – y1 = m(x – x1)
Here,
m = Slope of the line
(x1, y1) = Point through which the given line passes
The correct answer is:
Given point is: (2, 6)
Slope ( m) = -5
Let (2, 6) = (x1, y1)
We know that the equation of a line in point slope form is:
y – y1 = m(x – x1)
Substituting the values,
y – 6 = -5[x – 2]
y – 6 = -5(x - 2)
y – 6 = -5x – 10
y = -5x + 16
Thus, equation of the line that passes through P(2,6) and has a slope m = - 5 is y = -5x + 16.
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