Math Problem Statement
Find the equation of the line in the form y = mx + b, or x = c, given the slope 2 and y-intercept (0, -1).
Solution
The problem asks to find the equation of a line given the slope and y-intercept.
Given:
- Slope (m): 2
- y-intercept:
Solution:
The general form of the equation of a line in slope-intercept form is: Where:
- is the slope.
- is the y-intercept.
Substituting the given values:
So, the equation of the line is:
Would you like more details or have any questions?
Here are 5 related questions for further practice:
- What is the equation of a line with a slope of 3 and a y-intercept of 4?
- How do you find the slope of a line given two points?
- What is the equation of a line parallel to but passing through ?
- If the slope is and the y-intercept is 3, what is the equation of the line?
- How does the slope affect the steepness of a line on a graph?
Tip: The y-intercept is where the line crosses the y-axis, and it occurs when .
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Slope-Intercept Form
Formulas
y = mx + b
Theorems
-
Suitable Grade Level
Grades 7-9