Math Problem Statement
y-1=-5(x-1) Graph the equation
Solution
To graph the equation , we need to first rewrite it into slope-intercept form ().
Step 1: Expand the equation
Distribute the on the right-hand side:
Step 2: Solve for
Add 1 to both sides to isolate :
Now, the equation is in slope-intercept form: , where:
- The slope () is , meaning the line goes down 5 units for every 1 unit it moves to the right.
- The y-intercept () is 6, meaning the line crosses the y-axis at .
Step 3: Plotting the graph
- Start at the y-intercept: Plot the point .
- Use the slope: From , move 1 unit to the right and 5 units down to find another point. This gives the point .
- Draw the line: Connect the two points with a straight line, extending it in both directions.
Would you like me to generate a visual graph of this equation for you?
Related Questions:
- How do you calculate the slope of a line between two points?
- What does the slope tell you about the steepness of a line?
- How can you determine the x-intercept of this line?
- What are other forms of linear equations besides slope-intercept form?
- How do you graph lines parallel or perpendicular to this one?
Tip: When graphing, always check your slope and intercept points to ensure accuracy!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Graphing
Formulas
Slope-intercept form: y = mx + b
Theorems
Slope of a Line
Point-Slope Form
Suitable Grade Level
Grades 8-10