Answer:
Option B is correct
Slope of the lines that passes through the given points is, [tex]\frac{-6}{5}[/tex]
Step-by-step explanation:
Given: The points (2 , 6) and (7 ,0).
Slope of a line identify the direction of a line. To find the slope, you divide the difference of the y-coordinates of two points on a line by the difference of the x- coordinates of those same two points.
For any two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] the slope(m) of a line is given by;
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
Now, substitute the point (2 ,6 ) and ( 7, 0) in the slope formula we have;
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}=\frac{0 - 6}{7-2}[/tex] = [tex]\frac{-6}{5}[/tex]
therefore, the slope of the line that passes through the pair of points is; [tex]\frac{-6}{5}[/tex]
