Question

Traveling along a path from A to B, what is the ratio of the change in y to the change in x?

A. 5/3
B. 4/7
C. 3/5
D. 2/3

Answer 1

Option C. is correct

Explanation:

Slope of a Line

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

`\displaystyle m=(y_2-y_1)/(x_2-x_1)`

Please note the slope measures the ratio of the change in y to the change in x.

The points of the graph are A=(-3,-2) B=(7,4). Calculating the slope:

`\displaystyle m=(4-(-2))/(7-(-3))`

`\displaystyle m=(6)/(10)`

Simplifying by 2:

`\displaystyle m=(3)/(5)`

Option C. is correct