Q7. - Algebra 2

Question

Choose the correct term to complete each sentence.

 

The ratio of the change in y-coordinates to the corresponding change in 
x-coordinates is called the (slope, y-intercept) of a line.

Step-by-Step Solution

Answer

The correct term to complete the sentence is slope.

Step 1 – Defining the slope

Slope is the ratio of the vertical and horizontal changes between two points on a surface or a line. The vertical change between two points is called the rise, and the horizontal change is called the run.

Step 2 – Mathematical representation of a slope

$\begin{array}{l}slope=\frac{rise}{run}=\frac{\Delta y}{\Delta x}\\ slope=\frac{y_2-y_1}{x_2-x_1}\end{array}$

Step 3 – Determining the correct term

The correct term is slope.