Question

What is the slope-intercept form of the function described by this table? x 1 2 3 4 y −2 −6 −10 −14 Enter your answers in the boxes. y = x +

Answer 1

y=-4x+2

Explanation:

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Answer 2

From the given table, we pick up two points and find the slope using the formula

`m = (y_(2)-y_(1))/(x_(2)-x_(1))`

Points are (1,-2) and (2,-6)

Substituting these values in the formula, we will get

`m=(-6+2)/(2-1)= -4`

Now we will use point slope form, which is

`y-y_(1)= m(x-x_(1))`

Substituting one point and the value of m, we will get

`y-(-2) = -4(x-1)`

Distributing -4 on x-1

`y+2 = -4x +4`

`y = -4x +2`