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Arlecino [84]
2 years ago
11

Which equation represents the line through (4,5) and (0,-3)

Mathematics
1 answer:
MatroZZZ [7]2 years ago
7 0

The linear equation that represents the line that passes through the points (4,5) and (0,-3) is given by:

B. y = 2x - 3

<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.

The line passes through (0,-3), that is, when x = 0, y = -3, hence the y-intercept is of b = -3.

The slope is given by the <u>change in y divided by the change in x</u>, hence:

m = (5 - (-3))/(4 - 0) = 2

Hence the equation is:

y = 2x - 3.

Which means that option B is correct.

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

#SPJ1

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