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write an equation for the graph below in terms of x

Write An Equation For The Graph Below In Terms Of X class=

Sagot :

The linear equation for the graph in terms of x is given by: y = -0.5x - 3.

What is a linear function?

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 = -3, hence the y-intercept is of b = -3. The graph also passes through point (2,-4), hence the slope is given by:

m = (-4 - (-3))/(2 - 0) = -1/2 = -0.5.

Hence the equation is:

y = -0.5x - 3.

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

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