Math Problem Statement
Find the intercepts. Then graph by using the intercepts, if possible. 2y-x=4
Solution
Step 1: Find the intercepts
To find the x-intercept, set and solve for : So, the x-intercept is .
To find the y-intercept, set and solve for : So, the y-intercept is .
Step 2: Graph using the intercepts
Using the intercepts and , you can plot the line. These two points are enough to determine the straight line.
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If you have any questions, feel free to ask! Here are some related questions:
- How do you find the slope of the line from the equation?
- How do you rewrite the equation in slope-intercept form?
- What are the general steps to graph any linear equation?
- How do you find intercepts in nonlinear equations?
- Can you find the intercepts of a quadratic function?
Tip: The slope of a line can be calculated by using the formula , which is useful when graphing based on points.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Graphing
Formulas
Finding x and y intercepts
Standard form of a linear equation Ax + By = C
Theorems
Intercept theorem for linear equations
Suitable Grade Level
Grades 8-10