A line passes through the point −9, 1 and has a slope of −23.Write an equation in point-slope form for this line.
Question
A line passes through the point −9, 1 and has a slope of −23.Write an equation in point-slope form for this line.
Solution
To write an equation in point-slope form for a line, we need the coordinates of a point on the line and the slope of the line.
Given that the line passes through the point (-9, 1) and has a slope of -23, we can use the point-slope form of a linear equation:
y - y1 = m(x - x1)
where (x1, y1) are the coordinates of the given point and m is the slope of the line.
Substituting the values into the equation, we have:
y - 1 = -23(x - (-9))
Simplifying further:
y - 1 = -23(x + 9)
This is the equation in point-slope form for the given line.
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