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Sagot :
Supposing the line graphed is y = 2x + 3, the equation of the different line is:
y = 4x + 3.
What is a linear function?
A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem, the equation is:
y = 2x + 3
Hence, the slope is 2 and the y-intercept is 3. For the new line, we want to:
- Double the slope, hence m = 4.
- Keep the same y-intercept, hence b = 3.
Then, the equation of the different line is:
y = 4x + 3.
You can learn more about the equation of a line at https://brainly.com/question/24685547
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