👤
Answered

Look at the line graphed below. Write an equation of a different line that has the same y- Entercept as the line shown, but has a slope that s two times the slope of the given line. 2 1 х m *** - 1 2 3 5​

Answer :

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

Go Teaching: Other Questions