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nadya68 [22]
3 years ago
12

Inequalities

title=" - 5 \times + 2 \geqslant - 48" alt=" - 5 \times + 2 \geqslant - 48" align="absmiddle" class="latex-formula">
how do I solve it
Mathematics
1 answer:
Andrej [43]3 years ago
5 0

\bf -5x+2\geqslant -48\implies -5x \geqslant -50\implies \stackrel{\textit{now, we're dividing by -5}}{\cfrac{-5x}{-5}\stackrel{\stackrel{\downarrow }{\frac{}{}}}{\leqslant}\cfrac{-50}{-5}}\implies x\leqslant 10

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Answer:

y = \frac{1}{4} x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

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Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) =( 8, - 3) and (x₂, y₂ ) = (0, - 5)

m = \frac{-5+3}{0-8} = \frac{-2}{-8} = \frac{1}{4}

Note the line crosses the y- axis at (0, - 5 ) ⇒ c = - 5

y = \frac{1}{4} x - 5 ← equation of line

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