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Lorico [155]
2 years ago
11

What are the slope and the y-intercept of the linear function that is represented by the graph?

Mathematics
1 answer:
enyata [817]2 years ago
3 0

The slope and the y-intercept of the linear function represented by the graph is given as follows:

The slope is two-thirds, and the y-intercept is –2.

<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.

Looking at the graph, when x = 0, y = -2, hence the y-intercept is of -2. The slope is given by <u>change in y divided by change in x</u>, hence considering that the graph also goes through (3,0), it is given by:

m = \frac{0 - (-2)}{3 - 0} = \frac{2}{3}

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

#SPJ1

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Answer:

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Multiplication property states that you multiply the same number to both sides of an equation.

Multiply 6 to both sides of an equation [2];

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Statement                                           Reason

1.  \frac{x}{6} + 2 = 15                 Given

2.  \frac{x}{6} = 13                 Subtraction property of equality

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