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Keith_Richards [23]
2 years ago
5

Can someone answer this for me

Mathematics
1 answer:
charle [14.2K]2 years ago
6 0

The linear equation graphed is given by:

y - 5 = 3(x - 1).

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

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, and can also be interpreted as the initial value of the function.

In point-slope form, considering a point (x_0, y_0), the equation is:

y - y_0 = m(x - x_0)

The line goes through points (0,2) and (1,5), hence the slope is:

m = (5 - 2)/(1 - 0) = 3.

Since the line goes through point (1,5), the equation is:

y - 5 = 3(x - 1).

More can be learned about linear equations at brainly.com/question/24808124

#SPJ1

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