The line passes through the points (3,7),(6,14)
To solve this problem, we'll calculate the slope of the line passing through the points (3,7) and (6,14). The formula for the slope m of a line through two points (x1,y1) and (x2,y2) is given by:
First, we identify our points as follows:
Point 1: (x1,y1)=(3,7)
Point 2: (x2,y2)=(6,14)
Next, apply the formula:
x1=3y1=7x2=6y2=14
Substitute into the slope formula:
m=6−314−7=37
Therefore, the slope of the line is m=37=231.
The correct choice from the given options is: m=231.
m=231