Question
What is the point-slope form of the equation for the line with a slope of -2 that passes through the point (4, -6)?
Answers
GPT 3.5
The point-slope form of a linear equation is given by:
y - y1 = m(x - x1)
where m is the slope of the line, and (x1, y1) are the coordinates of a point on the line.
In this case, the slope is -2 and the point is (4, -6). Plugging these values into the formula, we get:
y - (-6) = -2(x - 4)
This simplifies to:
y + 6 = -2x + 8
Rearranging the equation to the standard form, we get:
2x + y = 2
y - y1 = m(x - x1)
where m is the slope of the line, and (x1, y1) are the coordinates of a point on the line.
In this case, the slope is -2 and the point is (4, -6). Plugging these values into the formula, we get:
y - (-6) = -2(x - 4)
This simplifies to:
y + 6 = -2x + 8
Rearranging the equation to the standard form, we get:
2x + y = 2