Question
A line passes through the point (2,3) and has a slope of -2. Which is the equation of the line in point slope form
Answers
Answered by
GPT 3.5
To find the equation of the line in point-slope form, we can use the formula:
y - y1 = m(x - x1)
Where (x1, y1) is the given point on the line and m is the slope of the line.
Using the given information, we have:
(x1, y1) = (2, 3)
m = -2
Substituting these values into the formula, we get:
y - 3 = -2(x - 2)
Simplifying, we have:
y - 3 = -2x + 4
This is the equation of the line in point-slope form.
y - y1 = m(x - x1)
Where (x1, y1) is the given point on the line and m is the slope of the line.
Using the given information, we have:
(x1, y1) = (2, 3)
m = -2
Substituting these values into the formula, we get:
y - 3 = -2(x - 2)
Simplifying, we have:
y - 3 = -2x + 4
This is the equation of the line in point-slope form.