Problem 1: Find the point-slope form of the equation of a line passing through the point (3,5) with a slope of 2.*5 pointsy-5 = 2(x-3)y-4 = 2(x-3)y-3 = 2(x-3)y-2 = 2(x-3)
Question
Problem 1: Find the point-slope form of the equation of a line passing through the point (3,5) with a slope of 2.*5 pointsy-5 = 2(x-3)y-4 = 2(x-3)y-3 = 2(x-3)y-2 = 2(x-3)
Solution
The problem seems to be a bit confused, but I'll try to clarify it. The point-slope form of the equation of a line is given by:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line and m is the slope of the line.
Given the point (3,5) and the slope 2, we can substitute these values into the equation to get:
y - 5 = 2(x - 3)
This is the point-slope form of the equation of the line. The other equations you've written (y-4 = 2(x-3), y-3 = 2(x-3), y-2 = 2(x-3)) are incorrect because they change the y-coordinate of the given point, which is not allowed.
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