A line passes through the point −4, 2 and has a slope of −54.Write an equation in point-slope form for this line.
Question
A line passes through the point −4, 2 and has a slope of −54.Write an equation in point-slope form for this line.
Solution
The point-slope form of a line is given by the formula:
y - y1 = m(x - x1)
where m is the slope of the line, and (x1, y1) is a point on the line.
Given that the line passes through the point (-4, 2) and has a slope of -54, we can substitute these values into the formula to get:
y - 2 = -54(x - (-4))
Simplify the equation to get:
y - 2 = -54x - 216
So, the equation of the line in point-slope form is y - 2 = -54x - 216.
Similar Questions
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