Math Problem Statement

What is the slope of the line?

Solution

The problem asks for the slope of the line on the graph. The slope is calculated using the formula:

slope(m)=ΔyΔx=y2y1x2x1\text{slope} (m) = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}

Looking at the line, we can choose two clear points it passes through. One such point is (0,0)(0, 0), and another one is (4,3)(4, 3).

Using these points, the slope is:

m=3040=34m = \frac{3 - 0}{4 - 0} = \frac{3}{4}

Thus, the slope of the line is 34\frac{3}{4}.

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:

  1. What does the slope tell us about the steepness of the line?
  2. How does a negative slope differ from a positive slope?
  3. What would the slope be if the line were horizontal?
  4. How do we interpret the y-intercept in the slope-intercept form of a line?
  5. What is the general formula for the equation of a line in slope-intercept form?

Tip: When calculating slope, always choose points that clearly intersect grid lines to avoid errors.

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Math Problem Analysis

Mathematical Concepts

Algebra
Coordinate Geometry
Slope of a Line

Formulas

Slope formula m = (y2 - y1) / (x2 - x1)

Theorems

Slope Theorem

Suitable Grade Level

Grades 7-10