Math Problem Statement
Chapter 3 Test - Written Portion (no key) (1).docx
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Solution
The document contains a set of mathematical problems involving algebra and geometry. Here’s a breakdown of the questions for clarity:
- Find the slope of the line that passes through the points (7, -2) and (-9, 5).
- Graph the function by finding the x- and y-intercepts of .
- Graph the intersection of two inequalities: and .
- Find an equation of a line that is perpendicular to and passes through (3, 4). The equation should be written in standard form.
- Write the equation of a line with a slope of -3 that passes through the point (-7, -3). The equation should be in slope-intercept form .
- Graph the function by finding the x- and y-intercepts of .
- Solve the word problem: The cost of a tow truck service is modeled by the linear function , where is the cost in dollars and is the number of miles towed. Interpret the slope and y-intercept of this linear equation.
Would you like a solution to all the questions, or is there a specific one you'd like to start with?
Here are 5 related questions for practice:
- How do you calculate the slope between two points?
- What is the process to find x- and y-intercepts from an equation?
- How can you graph systems of inequalities?
- How do you determine the equation of a perpendicular line?
- How is the slope of a line interpreted in word problems?
Tip: To find the slope of a line through two points and , use the formula
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Math Problem Analysis
Mathematical Concepts
Algebra
Geometry
Linear Equations
Systems of Inequalities
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Standard form of a line: Ax + By = C
Slope-intercept form: y = mx + b
Theorems
Parallel and Perpendicular Line Theorem
Linear Function Interpretation
Suitable Grade Level
Grades 9-11
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