Math Problem Statement
y = 2x+3
Solution
The equation represents a linear equation in slope-intercept form, where:
- is the dependent variable.
- is the independent variable.
- The coefficient of , which is 2, is the slope of the line.
- The constant term, 3, is the y-intercept, where the line crosses the y-axis.
Characteristics of the Line:
- Slope (m): The slope is 2, meaning the line rises 2 units vertically for every 1 unit it moves horizontally.
- Y-Intercept (b): The y-intercept is 3, so the line crosses the y-axis at the point (0, 3).
Graph of the Line:
To graph the equation, you can:
- Start at the y-intercept (0, 3) on the y-axis.
- Use the slope to find another point: from (0, 3), move 2 units up and 1 unit to the right to reach the point (1, 5).
- Draw a straight line through these points.
Would you like more details or have any questions?
Here are 5 related questions you might find interesting:
- How do you find the slope between two points on a line?
- What is the general form of a linear equation, and how does it differ from the slope-intercept form?
- How can you determine if two lines are parallel or perpendicular?
- How do you find the x-intercept of a line given its equation?
- What are the real-world applications of linear equations?
Tip: When graphing a linear equation, always start by plotting the y-intercept and then use the slope to find other points on the line.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Linear Equations
Slope-Intercept Form
Formulas
-
Theorems
-
Suitable Grade Level
Grades 7-9