Graph 7x+6y<42 7x+6y>-42

1 answer:

5 0

7x + 6y < 42
6y < -7x + 42
y < -7/6x + 7

slope = -7/6....y int = (0,7)...x int = (6,0)...it will be a dashed line...shading will be below the line....so start at (0,7)...and since the slope is -7/6...go down 7 spaces and to the right 6 spaces, and keep doing this and u will cross the x axis at (6,0)

7x + 6y > - 42
6y > -7x - 42
y > -7/6x - 7

slope = -7/6...y int = (0,-7)....x int = (-6,0)....line will be dashed....shading will be above the line...so start at (0,-7) and since the slope is -7/6...go down 7 spaces and to the right 6 spaces...keep doing this and u will cross the x axis at (-6,0)

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Illusion [34]

$\bf ~~~~~~~~~~~~\textit{negative exponents}
\\\\
a^{-n} \implies \cfrac{1}{a^n}
\qquad \qquad
\cfrac{1}{a^n}\implies a^{-n}
\qquad \qquad a^n\implies \cfrac{1}{a^{-n}}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\left( \cfrac{2}{5} \right)^{-2}\implies \left( \cfrac{5}{2} \right)^{+2}\implies \left( \cfrac{5^2}{2^2} \right)\implies \cfrac{25}{4}\implies 6\frac{1}{4}$