Question

Given m = 2 and point P(1,3), which graph represents a line with the slope m that passes through point P?

A) A
B) B
C) C
D) D

Answer 1

The equation of the line is y = 2x + 1. Graph B represents this line.

Step-by-step explanation:

The equation of a line with slope m passing through a point P(x, y) is given by y - y1 = m(x - x1). In this case, the slope m is given as 2 and the point P(1,3) is given. So, the equation of the line is y - 3 = 2(x - 1). We can choose the graph that satisfies this equation.

After substituting the values, the equation becomes y = 2x + 1. The correct graph is Graph B as it represents the line with the given slope that passes through point P(1,3).