What is the equation of the line in slope-intercept form? y=_ x +_

Mathematics

1 answer:

Aneli [31]2 years ago

6 0

Answer:

y = 5/2x + 5

Step-by-step explanation:

Your b value is the place where the line crosses the y-axis. So, we can tell right away the b value in the equation is 5.

I'll use negative 2 as the point to find the slope. You go down 5, so we have -5, and go left 2, so -2. 2 negatives make a positive, so the slope is 5/2.

Final equation -

y = 5/2x + 5

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20 Answer: a₁ = 4

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Step-by-step explanation:

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Step-by-step explanation:

$a_n=48,\ a_1=1875\ r=\dfrac{2}{5}\\\\a_n=a_1 \cdot r^{n-1}\\\\48=1875\cdot \bigg(\dfrac{2}{5}\bigg)^{n-1}\\\\\dfrac{48}{1875}=\bigg(\dfrac{2}{5}\bigg)^{n-1}\\\\\dfrac{16}{625}=\bigg(\dfrac{2}{5}\bigg)^{n-1}}\\\\\bigg(\dfrac{2}{5}\bigg)^4=\bigg(\dfrac{2}{5}\bigg)^{n-1}}\\\\4=n-1\\\\\large\boxed{5}=n$