Math Problem Statement
This graph represents .
the graph of 2x+y=-4
Solution
The equation given is:
We want to express this equation in slope-intercept form (), where is the slope and is the y-intercept.
Step 1: Convert to slope-intercept form
Starting with: Subtract from both sides:
Step 2: Identify slope and intercept
- The slope is .
- The y-intercept is , meaning the line crosses the y-axis at .
Step 3: Drawing the graph
- Start at the y-intercept .
- Use the slope , which means for every 1 unit you move to the right (positive direction on the x-axis), you move 2 units down (negative direction on the y-axis).
Two points on the line are:
- from the y-intercept.
- Moving right 1 unit: .
Plot these points and draw a straight line through them.
Would you like more details on how to graph it?
5 Related Questions:
- How do you find the x-intercept of this line?
- What changes if the slope is positive instead of negative?
- How do you graph a line given two points?
- How do you determine if two lines are parallel?
- How do you find the slope between two points?
Tip
When converting to slope-intercept form, always isolate for easier graphing!
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Slope-Intercept Form
Formulas
Slope-Intercept Form y = mx + b
Theorems
Linear Equation Theorem
Suitable Grade Level
Grades 8-10