Question

Line f passes through points (1, 14) and (9, 7). Line g is parallel to line f. What is the slope of line g?

a) −1/8
b) 1/8
c) 1/7
d) −1/7

Answer 1

The slope of line g, which is parallel to line f passing through the points (1, 14) and (9, 7), is -7/8.

Step-by-step explanation:

To find the slope of line g, which is parallel to line f, we need to use the fact that parallel lines have the same slope. Given that line f passes through the points (1, 14) and (9, 7), we can use the formula for slope: Δy/Δx = (y2 - y1)/(x2 - x1).

Substituting the coordinates of the two points into the formula, we get (7 - 14)/(9 - 1) = -7/8. Therefore, the slope of line g is also -7/8.