Math Problem Statement
give me one example linear function solving with graphing with let x=0 4x-2
Solution
Let's solve the linear function by graphing.
Step 1: Rearrange the equation
The equation of the line can be written as: Simplify it: Divide both sides by 4:
So, the solution is .
Step 2: Graph the equation
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Find the y-intercept (Let ): So, the y-intercept is .
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Find another point (Let ): So, the point is on the line.
Step 3: Plot the points and draw the line
- Plot the points and .
- Draw a straight line through these points.
The graph should show the line passing through , which is where . This confirms that the solution to the equation is .
Do you have any questions about this?
Related Questions:
- How do you determine the slope of a linear function from an equation?
- What is the significance of the y-intercept in a linear equation?
- Can you explain how to solve a linear equation algebraically?
- How do you find the x-intercept of a linear equation?
- What are the steps to graph a linear equation if given in slope-intercept form?
Tip: When graphing a linear equation, always start by plotting the y-intercept and then use the slope to find other points.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Functions
Graphing Equations
Formulas
y = 4x - 2
Slope-intercept form y = mx + b
Theorems
Linear equation solving
Graphing linear functions
Suitable Grade Level
Grades 6-8