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what is the slope-intercept form of the function described by this table? x 1 2 3 4 y 1 −2 −5 −8 enter your answer by filling in the boxes. y = x

Answer :

The function depicted in the table has the following slope-intercept form:

y = -3x + 4

Explain the equation of straight line?

  • The formula for a straight line is y=mx+c where c is the slope at which the line intersects the y-axis, often known as the y-intercept, and m is the gradient.

For such equation of every straight line, the slope-intercept form is provided by:

y = mx +c

where:

  • The slope of the line is m.
  • b is the line's y-intercept.

Choose 2 points from the provided table, such as (2,-2) and (3,-5) and to use the evidence that the slope is, to determine the line's slope.

m = (y2 - y1)/(x2 - x1)

m = -5 + 2 / 3 - 2

m = -3

You can use the point (2,-2) or other point listed in the table along with this relation, to determine the y-intercept b.

b = y1 - mx1

b = (-2) -(-3 + 2)

b = 4

Consequently, is the function represented by the table's slope-intercept form: y -3x + 4.

To know more about the equation of straight line, here

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