What is the equation of the line in the accompanying diagram?

y = 1 2 x + 3 y=\frac{1}{2}x+3 y = 2 1 x + 3

y = 3 x + 1 2 y\ =3x\ +\frac{1}{2} y = 3 x + 2 1

Find the equation of the line given a point ( 6 , − 1 ) \left(6,-1\right) ( 6 , − 1 ) and a slope of − 1 -1 − 1 . Use the point-slope formula y − y 1 = m ( x − x 1 ) y-y_1=m\left(x-x_1\right) y − y 1 = m ( x − x 1 )

y = − 1 x + 5 y=-1x+5 y = − 1 x + 5

y = − 1 x − 5 y=-1x-5 y = − 1 x − 5

y = 1 x − 5 y=1x-5 y = 1 x − 5

Is this a function? Explain.

Yes; it passes the vertical line test.

Yes; it passes the horizontal line test.

No; it does not pass the vertical line test

What is the range of the graph?

− 2 ≤ f ( x ) ≤ 10 -2\le f\left(x\right)\le10 − 2 ≤ f ( x ) ≤ 1 0

− 2 < f ( x ) < 10 -2<f\left(x\right)<10 − 2 < f ( x ) < 1 0

− 3 < x < 3 -3<x<3 − 3 < x < 3

− 3 ≤ x ≤ 3 -3\le x\le3 − 3 ≤ x ≤ 3

Solve the given inequality: − 3 ( x + 2 ) − 3 x < 2 x + 18 -3\left(x+2\right)-3x<2x+18 − 3 ( x + 2 ) − 3 x < 2 x + 1 8

x > − 3 2 x>-\frac{3}{2} x > − 2 3

Review and Practice (Domains, Range, Writing Linear Equations)

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8.F.A.1, 8.EE.B.5, HSF.IF.A.2

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CCSS.8.F.A.1

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-32

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