A line passes through the point −−2, 1 and has a slope of −52.Write an equation in point-slope form for this line.
Question
A line passes through the point −−2, 1 and has a slope of −52.Write an equation in point-slope form for this line.
Solution
To write an equation in point-slope form for a line passing through the point (-2, 1) with a slope of -52, we can use the formula:
y - y1 = m(x - x1)
where (x1, y1) represents the coordinates of the given point and m represents the slope.
Substituting the values into the formula, we have:
y - 1 = -52(x - (-2))
Simplifying further:
y - 1 = -52(x + 2)
Expanding the brackets:
y - 1 = -52x - 104
Finally, rearranging the equation to the point-slope form:
y = -52x - 103
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