Math Problem Statement

What is the slope of the line shown in the graph?

Solution

The image shows a line passing through the points (3,0)(-3, 0) and (0,3)(0, 3). To find the slope of the line, we use the slope formula:

slope=y2y1x2x1\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}

Here, (x1,y1)=(3,0)(x_1, y_1) = (-3, 0) and (x2,y2)=(0,3)(x_2, y_2) = (0, 3). Substituting these values:

slope=300(3)=33=1\text{slope} = \frac{3 - 0}{0 - (-3)} = \frac{3}{3} = 1

So, the slope of the line is 11.

Would you like more details or have any questions?

Here are some related questions you might find interesting:

  1. What is the equation of this line in slope-intercept form?
  2. How would the slope change if the line were steeper?
  3. Can you calculate the y-intercept based on the graph?
  4. What is the significance of a positive slope?
  5. How do you find the slope if given only the graph and no points?

Tip: The slope tells you how steep a line is; a slope of 11 means that for every unit increase in xx, yy increases by exactly 1 unit.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Coordinate Geometry
Linear Equations

Formulas

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

Theorems

Slope of a Line

Suitable Grade Level

Grades 7-9