Math Problem Statement

Use the points shown on the graph to the right to determine the slope of the line. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

Solution

To determine the slope of the line from the graph, we can follow these steps:

  1. Identify two points on the line. Based on the graph you uploaded, the line crosses through the points (0,5)(0, 5) and (5,0)(5, 0).

  2. Use the slope formula: slope=y2y1x2x1\text{slope} = \frac{y_2 - y_1}{x_2 - x_1} Where (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) are two points on the line.

Using the points (0,5)(0, 5) and (5,0)(5, 0): slope=0550=55=1\text{slope} = \frac{0 - 5}{5 - 0} = \frac{-5}{5} = -1

So, the slope of the line is 1-1.

Would you like more details on this process or help with something else?

Related Questions:

  1. What is the significance of the slope in a linear equation?
  2. How can you interpret a negative slope on a graph?
  3. What is the general equation of a line in slope-intercept form?
  4. How can you calculate the slope if the line is vertical or horizontal?
  5. How does changing the slope affect the steepness of a line?

Tip:

Always ensure that the points you select from the graph are accurate, especially when reading the graph's scale to avoid errors in slope calculations.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Slope of a Line
Linear Equations

Formulas

Slope formula: (y2 - y1) / (x2 - x1)

Theorems

Slope-Intercept Form of a Line

Suitable Grade Level

Grades 8-10