m= -2.0
x₁=1.0
y₁=6.0
A. The designated point in the line is (x₁,y₁) (1,6)
B. The point slope equation is:
y-y₁=m(x-x₁)
[tex]\begin{gathered} y-6=-2\mleft(x-1\mright) \\ y-6=-2\cdot x-(-2)\cdot1 \\ y-6=-2x+2 \end{gathered}[/tex]
C.
Slope intercept form:
[tex]\begin{gathered} y-6=-2x+2 \\ y=-2x+2+6 \\ y=-2x+8 \end{gathered}[/tex]
The y- intercept is 8
D. When x increases one unit, y decreases 2.
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F. (y-7) Its a change in the y-axis, it shifts the function 7 units down.
