Math Problem Statement
answer with 100% that its correct
Solution
The equation given is , which is in slope-intercept form , where is the slope and is the y-intercept.
The first step in graphing this linear equation is to plot the y-intercept. The y-intercept is the point where the line crosses the y-axis, which happens when .
From the equation , we get: Thus, the point to plot is .
The correct values to complete the sentence are:
Plot the point .
Would you like more details on how to graph the rest of the equation? Here are five questions to further your understanding:
- What does the slope represent in the graph of this equation?
- How can you find another point on the line using the slope?
- Why is the y-intercept important for graphing linear equations?
- What would the graph look like if the slope were negative?
- How would changing the y-intercept affect the position of the graph?
Tip: When graphing, always start by plotting the y-intercept, then use the slope to find additional points!
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Slope-Intercept Form
Formulas
y = mx + b
Theorems
Slope-Intercept Form Theorem
Suitable Grade Level
Grades 7-9