Mathematics: Given the points (-2,0)and(4,2) find the slope in y=Mx+b

Given the points (-2,0)and(4,2) find the slope in - id204214781649, dawsoncollins4117

nixki333

24.11.2021

$y = \frac{1}{3}x + \frac{2}{3}$

Step-by-step explanation:

To find the slope, you can use the slope formula:

$\frac{y2 - y1}{x2 - x1}$

Where (x1, y1) is one set of coordinates with (x2, y2) being the second set.

Step 1 - Plug known values in:

$\frac{2 - 0}{4 -(-2)}$

$\\\frac{2}{4 + 2}$

$\\\frac{2}{6}$

This simplifies to:

$\\\frac{1}{3}$

The equation y = mx + b states that the m variable is the slope with the b value being the y-intercept, so:

$y = \frac{1}{3}x + b$

Step 2 - Plug the variables of the second equation in to calculate y intercept:

$(4, 2)\\\\2 = \frac{1}{3}(4) + b\\2 = \frac{4}{3} + b$

Subtract $\frac{4}{3}$ from 2:

$2 - \frac{4}{3} = b\\\frac{6}{3} - \frac{4}{3} = b\\b = \frac{2}{3}$

Meaning the end equation is:

$y = \frac{1}{3}x + \frac{2}{3}$

Hope this helps!

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Sariyahgaskin

10.06.2022

9514 1404 393

Step-by-step explanation:

The first step is to understand that the question is asking about the future value of series of payments. An appropriate formula is ...

P = A(n/r)((1 +r/n)^(nt) -1)

where P is the future value, A is the periodic payment made n times per year for t years. r is the annual interest rate.

The next step is to substitute the given values and do the arithmetic. Using the given values, we have ...

P = 250(12/0.056)((1 +0.056/12)^(12×2.5) -1) ≈ 8030.32

Shen will have accumulated about $8,030.32, which is not enough to meet his goal.

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