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arlik [135]
3 years ago
9

Writing an equation of a line given its slope and y-intercept

Mathematics
2 answers:
JulsSmile [24]3 years ago
8 0

Answer:

y=-3x+4

Step-by-step explanation:

Slope-intercept form is y=mx+b

where m is the slope and b is the y-intercept.

m=-3 because -3 is the slope.

b=4 because 4 is the y-intercept.

Let's plug that into y=mx+b giving us y=-3x+4.

Allushta [10]3 years ago
7 0

Slope intercept form is y=mx+b \to y=-3x+4

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When will the equation p(b)=520(0.88)^b have a value less than 100?
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Answer:

The given equation will have value less than 100 whenever the value of b is greater than 12.89

Step-by-step explanation:

For the given equation, p(b) = 520 × 0.88^{b} to have a value less than 100 we can establish inequality as:

                     p(b) < 100

         or,  520 × 0.88^{b} < 100

         or, \frac{520}{520} × 0.88^{b} < \frac{100}{520}

         or, 0.88^{b} < \frac{1}{5.2}

         or, ㏒ ( 0.88^{b} ) < ㏒  (\frac{1}{5.2})

         or, b× ㏒ 0.88 < ㏒  (\frac{1}{5.2})

         or,  \frac{log (\frac{1}{5.2}) }{log (0.88)}   <  b

         or, 12.89 < b

Hence for the equation to have value less than 100, b must be greater than 12.89.

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Step-by-step explanation:

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