Question

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

a. y + 2 = (x + 3)
b. y-2=3(x-3)
c. y+3= (x+2)
d. y-3=2x-2)

Answer 1

The point-slope form equation that represents the line passing through (3, 2) with a slope of 2a is y - 2 = 2a(x - 3), which corresponds to option (b).

Step-by-step explanation:

The student's question asks which equation represents the point-slope form of a line that passes through the point (3, 2) and has a slope of 2a. 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. Inserting the given point (3, 2) and the slope 2a into the point-slope formula, we obtain the equation y - 2 = 2a(x - 3). Therefore, the correct equation is option (b) y - 2 = 2a(x - 3).