Question

What is the point-slope form of a line with a slope of 3/4 passing through the point (2, 2)?

A) y - 2 = 3/4(x - 2)
B) y = 3/4x + 2
C) y - 3/4 = x - 2
D) None of the above

Answer 1

The point-slope form of a line with a slope of 3/4 passing through the point (2, 2) is A) y - 2 = 3/4(x - 2).

Step-by-step explanation:

The student has asked to find the point-slope form of a line with a slope of 3/4 passing through the point (2, 2). The point-slope form of a linear equation is expressed as y - y1 = m(x - x1), where m is the slope and (x1, y1) is the point the line passes through.

Using the given slope m = 3/4 and the point (2, 2), the equation becomes y - 2 = 3/4(x - 2). Therefore, the correct answer is A) y - 2 = 3/4(x - 2).The point-slope form of a line is given by the equation y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

In this case, the slope is 3/4 and the point is (2, 2), so the equation becomes y - 2 = (3/4)(x - 2).

Therefore, the correct answer is A) y - 2 = (3/4)(x - 2).