Math Problem Statement

Write the equation of this line in slope-intercept form.

Solution

To find the equation of the line in slope-intercept form, we need to identify two key pieces of information from the graph:

  1. Slope (m): This is the rate of change in y as x changes. We can find this by calculating the "rise" (change in y) over the "run" (change in x) between two clear points on the line.

  2. Y-intercept (b): This is the point where the line crosses the y-axis, i.e., where x = 0.

Looking at the graph:

  • It appears that the line crosses the y-axis at y=4y = 4, so the y-intercept is b=4b = 4.
  • We can also observe two points on the line: (6,6)(-6, 6) and (0,4)(0, 4).

Now, let's calculate the slope mm using the formula: [ m = \frac

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slope-Intercept Form

Formulas

Slope formula: m = (y2 - y1) / (x2 - x1)
Slope-Intercept form: y = mx + b

Theorems

Slope formula
Linear equation theory

Suitable Grade Level

Grades 7-9