Question

hat is the slope-intercept form of the function described by this table?
x 1 2 3 4
y 1 −2 −5 −8
Enter your answers in the boxes.
y = x +

Answer 1

Answer: y = -3

x + 4

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Answer 2

Answer:

The slope-intercept form of the function described by the table is $y=-3x+4$

Step-by-step explanation:

The slope-intercept form for the equation of any straight line is given by:

                                   $y=mx+b$

where:

m is the slope of the line

b is the y-intercept of the line

To find the slope of the line you can choose two points from the table given, for example (2,-2) and (3,-5) and use the fact that the slope is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{-5-(-2)}{3-2}=-3$.

To find the y-intercept b, you can use for example the point (2,-2) or any other point given in the table and use this relation $b=y_{1}-mx_{1}$, $b=y_{1}-mx_{1} = -2-((-3)*2)=4$.

So, the slope-intercept form of the function described by the table is $y=-3x+4$.