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:
-
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.
-
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 , so the y-intercept is .
- We can also observe two points on the line: and .
Now, let's calculate the slope 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