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Dominik [7]
2 years ago
7

Help please ;-; The values in the table represent a linear function.

Mathematics
1 answer:
Fittoniya [83]2 years ago
4 0

Answer:

The function rule in slope-intercept form is:

y = \frac{1}{2}x-\frac{7}{2}

Step-by-step explanation:

The slope-intercept form of a function is given as:

y = mx+b

Here

m is the rate of change of function and b is the y-intercept

The rate of change is calculated as:

m = \frac{difference\ in\ y}{difference\ in\ x}

For this, any two pairs of input and output can be taken.

So using the pairs (1,-3) and (2,-1)

m=\frac{2-1}{-1+3}\\=\frac{1}{2}

Putting the value of slope in slope-intercept form

y = \frac{1}{2}x+b

Putting (1,-3) in the equation

-3 = \frac{1}{2}(1)+b\\-3 = \frac{1}{2}+b\\b = -3-\frac{1}{2}\\b = \frac{-6-1}{2}\\b= \frac{-7}{2}

Putting the value of b

y = \frac{1}{2}x-\frac{7}{2}

Hence,

The function rule in slope-intercept form is:

y = \frac{1}{2}x-\frac{7}{2}

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