Question
Give the slope and the \( y \)-intercept of the line with the given equation. Then, graph the linear equation. \( y=8 x+2 \) What is the slope? Select the correct choice below and fill in any answer boxes within your choice A. The slope is (Simplify your answer) B. The slope is undefined.
Ask by Ortiz Schultz. in the United States
Feb 28,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The slope is 8, and the y-intercept is 2.
Solution
The equation is already in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
For y = 8x + 2:
• The slope (m) is 8.
• The y-intercept (b) is 2 (which corresponds to the point (0, 2)).
Answer: A. The slope is 8.
To graph the equation:
1. Start at the y-intercept (0, 2) on the graph.
2. From (0, 2), use the slope 8 (which means "rise over run": rise 8 units and run 1 unit to the right) to find another point. For example, go right 1 unit to x = 1; then y = 2 + 8 = 10, giving the point (1, 10).
3. Plot the points (0, 2) and (1, 10) and draw a straight line through them extending in both directions.
This is the graph of the line y = 8x + 2.
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Extra Insights
The slope of the line given by the equation \( y = 8x + 2 \) is 8, which means for every unit increase in \( x \), \( y \) increases by 8. The \( y \)-intercept, where the line crosses the \( y \)-axis, is 2, indicating that when \( x = 0 \), \( y \) equals 2. To graph this line, start at the point (0, 2) on the \( y \)-axis, then from there, rise 8 units up and run 1 unit to the right to reach the next point at (1, 10). Draw a straight line through these two points to represent the equation accurately!
