2 years ago

Describe a real life multiplication situation for which the estimate makes sense

Mathematics

1 answer:

Nina [5.8K]2 years ago

7 0

If there are 26 students in a class and each of them gets 4 candies, how many candies are in total?
26 x 4 = 104

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log 7 has an "invisible" base of 10

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Complete the equation of the line through (2,-2)(2,−2)left parenthesis, 2, comma, minus, 2, right parenthesis and (4,1)(4,1)left

Daniel [21]

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$y=\frac{3}{2}x-5$

Step-by-step explanation:

There are a couple of ways to solve this, depending on what you already know.

Point-Slope Form

$y-y_1=m(x-x_1)$ where m is the slope and $(x_1, y_1)$ is a point on the line.

First, calculate the slope using the two given points $(x_1, y_1), (x_2, y_2)$ .

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{1-(-2)}{4-2}=\frac{3}{2}$ .

Fill in the point-slope pattern

$y-(-2)=\frac{3}{2}(x-2) \\ y+2=\frac{3}{2}x-3 \\ y=\frac{3}{2}x-5$

There's the equation in slope-intercept form ( $y=mx+b$ ).

Slope-Intercept Form

Use $y=mx+b$ directly.

Find the slope just like the above, so $m=\frac{3}{2}$ .

Now, plug one of the points (either one!) together with m into

$y=mx+b\\-2=\frac{3}{2}(2)+b \\ -2=3+b \\ b=-5$

Now you know the value of b, so the equation for the line is

$y=\frac{3}{2}x-5$

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