Math Problem Statement
Graph the problem
Graph the following features: Slope = 2, Y-intercept = 3.
Solution
The task requires graphing a line with the following properties:
- Slope = 2
- Y-intercept = 3
The general equation for a line in slope-intercept form is: where is the slope and is the y-intercept.
Given:
- (slope)
- (y-intercept)
The equation of the line would be:
In the graph you uploaded, it seems there is a misunderstanding in the line's plot. The correct graph should:
- Pass through the y-intercept at .
- Have a slope of 2, which means for every unit increase in , should increase by 2 units. So, moving from , the next point could be (since ).
Let me know if you'd like a corrected graph drawn out, or if you have questions about the process!
Here are 5 related questions for further learning:
- How can you find the slope if given two points on a line?
- What changes in the equation of a line when the slope is negative?
- How do you determine the x-intercept from a line equation?
- How does the graph of a line change if you increase the y-intercept?
- What is the difference between slope-intercept form and point-slope form?
Tip: When graphing, always check if the line passes through the correct y-intercept and follows the slope!
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Graphing
Formulas
Slope-intercept form: y = mx + b
Theorems
Slope of a Line
Suitable Grade Level
Grades 8-10