Question
Question 3: Draw the following straight-line graphs using the gradient - int ercept method:
a.
b.
c.
a.
b.
c.
Ask by Herrera Sullivan. in South Africa
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
To draw the straight-line graphs using the gradient-intercept method, convert each equation to the form
- a.
(Gradient: 2, Y-intercept: -4) - b.
(Gradient: , Y-intercept: 3) - c.
(Gradient: -3, Y-intercept: 5)
Plot the y-intercepts and use the gradients to find another point on each line, then draw the straight lines accordingly.
Solution
It seems that I am unable to plot the graphs directly at this moment. However, I can guide you on how to plot them manually.
Steps to Plot the Graphs:
-
For equation a:
- Y-intercept: (0, -4)
- Using the gradient: From (0, -4), move up 2 units and right 1 unit to get the point (1, -2).
- Plot the points: (0, -4) and (1, -2), then draw a straight line through these points.
-
For equation b:
- Y-intercept: (0, 3)
- Using the gradient: From (0, 3), move up 3 units and right 2 units to get the point (2, 6).
- Plot the points: (0, 3) and (2, 6), then draw a straight line through these points.
-
For equation c:
- Y-intercept: (0, 5)
- Using the gradient: From (0, 5), move down 3 units and right 1 unit to get the point (1, 2).
- Plot the points: (0, 5) and (1, 2), then draw a straight line through these points.
Final Notes:
- Make sure to label each line with its corresponding equation.
- Use graph paper or a digital graphing tool for accuracy.
If you have any further questions or need additional assistance, feel free to ask!
Answered by UpStudy AI and reviewed by a Professional Tutor
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