Math Problem Statement
Solution
Let's analyze the image to find the equation of the straight line.
From the graph, we can identify two key aspects of the straight line:
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Slope: The slope (m) of the line is the ratio of the change in to the change in . Looking at the graph, we see that as increases by 6 (from 0 to 6), decreases by 9 (from 6 to -3). Thus, the slope is:
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Intercept: The intercept (where the line crosses the -axis) is at , which gives us the y-intercept (c).
So, the equation of the line is:
Looking at the answer choices in the image, the correct answer is:
Do you have any questions, or would you like more details on this?
Here are some related questions for further exploration:
- How do you calculate the slope of a line from a graph?
- What is the significance of the y-intercept in a linear equation?
- Can the slope of a line ever be positive? What would that look like on a graph?
- How do you rewrite the equation of a line if you are given different points?
- What is the general form of a linear equation in two variables?
Tip: To easily find the slope of a line, pick two clear points on the graph, and use the formula .
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Graphing
Formulas
Slope formula: m = (change in y) / (change in x)
Linear equation: y = mx + c
Theorems
Slope-Intercept Form
Suitable Grade Level
Grades 8-10