Math Problem Statement
Consider the following equation.
4x−2y=84x−2y=8
Step 2 of 3 :
Plot the y-intercept.
Solution
To find the y-intercept of the equation , we need to set . Here's how we do it:
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Substitute into the equation: This simplifies to:
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Solve for :
So, the y-intercept is at .
Plotting the y-intercept:
- The y-intercept occurs where the graph crosses the y-axis.
- On the coordinate plane, you will plot the point .
Would you like more details or have any questions?
Related Questions
- How do you find the x-intercept of the equation?
- Can you rewrite the equation in slope-intercept form?
- What does the slope represent in this equation?
- How would you plot another point on the line to draw the full graph?
- How can you determine if two lines are parallel or perpendicular using their equations?
Tip
Always set to find the y-intercept and to find the x-intercept.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Graphing
Formulas
Equation of a line: Ax + By = C
Finding the y-intercept by setting x = 0
Theorems
Intercept form of a linear equation
Suitable Grade Level
Grades 8-10