Question
Write the equation in point-slope form of the line that passes through the point (9, -4) with a slope of 2
Answers
Answered by
GPT 3.5
The point-slope form of a linear equation is given by:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line and m is the slope.
Using the given point (9, -4) and slope 2, we can substitute these values into the equation:
y - (-4) = 2(x - 9)
Simplifying this equation:
y + 4 = 2x - 18
Now, we can rewrite it in the standard form:
2x - y = 22
y - y1 = m(x - x1)
where (x1, y1) is a point on the line and m is the slope.
Using the given point (9, -4) and slope 2, we can substitute these values into the equation:
y - (-4) = 2(x - 9)
Simplifying this equation:
y + 4 = 2x - 18
Now, we can rewrite it in the standard form:
2x - y = 22