Question

Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of1/3?

a. y+2 ={1}/{3}(x+3)
b. y^2= {1}/{3}(x-3)
c. y+3 ={1}/{3}(x + 2
d. y-3 = {1}/{3}(x - 2)

Answer 1

The equation in point-slope form for a line passing through (3, 2) with a slope of 1/3 is y - 2 = 1/3(x - 3), which corresponds to option (a) y + 2 = 1/3(x - 3).

Step-by-step explanation:

The question is asking to find the equation in point-slope form for a line that passes through the point (3, 2) with a slope of 1/3. The point-slope form of a line is given by the formula 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, 2) and the slope 1/3, we substitute into the formula to get y - 2 = 1/3(x - 3). Therefore, the correct answer is (a) y + 2 = 1/3(x - 3). Note that the typos in the other options can be dismissed as they do not correctly represent the point-slope form of the equation.