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Aleksandr [31]
2 years ago
8

What is an equation of the line that passes through the points

Mathematics
1 answer:
zubka84 [21]2 years ago
6 0

Answer <u>(assuming it can be in slope-intercept form): </u>

y = x - 5

Step-by-step explanation:

1) First, find the slope of the equation. Use the slope formula, m = \frac{y_2-y_1}{x_2-x_1}, and substitute the x and y values of the given points into it. Then, solve:

m = \frac{(2)-(1)}{(7)-(6)} \\m = \frac{2-1}{7-6} \\m = \frac{1}{1} \\m = 1

2) Now that we know the slope and at least one point the line crosses through, we can write an equation of the line in point-slope form, or y-y_1 = m (x-x_1). Substitute m, x_1, and y_1 for real values.

Since m represents the slope, substitute 1 for it. Since x_1 and y_1 represent the x and y values of a point the line intersects, use any one of the given points (either one is fine, either way the equation will represent the same line) and substitute its x and y values into the equation. (I chose the point (6, 1), as seen below.) Finally, isolate y to put the equation in slope-intercept form.

y-1 = 1(x-6)\\y -1 = x-6\\y = x -5

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F(x)=2x+3/4x+5<br>find f(-9)<br>​
mylen [45]

\implies {\blue {\boxed {\boxed {\purple {\sf { f(-9)= 0.48}}}}}}

\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}

f(x) =  \frac{2x + 3}{4x + 5} \\

For f(-9), put "-9" for every value of "x".

↬f( - 9) =  \frac{2( - 9) + 3}{4( - 9) + 5}\\

↬ f(-9) =  \frac{ - 18 + 3}{ - 36 + 5} \\

↬ f(-9) =  \frac{ - 15}{ - 31}\\

↬ f(-9)=  \frac{15}{31}\\

↬f(-9)=  0.48\\

\bold{ \green{ \star{ \red{Mystique35}}}}⋆

6 0
3 years ago
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The total budget for a landscaping project was $349.02, and the project called for 42 plants. What is the average cost per plant
Marianna [84]

Answer:

349.02 / 42 = answer

Step-by-step explanation:

method used is dividing total cost by number of goods used gives the exact cost of each plant

8 0
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Answer:(-1,11)

Step-by-step explanation:

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2 years ago
How do you solve the equation x - 5(x - 1) = x - (2x - 2) please explain each step
Anastaziya [24]

Answer:

1 = x

Step-by-step explanation:

x-5(x-1) = x-(2x-2)

First, you distrubute your numbers. On the left side, multiply the parentheses by '5', and on the right side multiply the perentheses by '-1'. It should look something like this:

x-5x+5 = x-2x+2

Now, you need to combine like terms. On the left side combine the 'x' and the '-5x'. On the right side combine the 'x' and the '-2x'. It should now look like this:

-4x+5 = -x+2

You need to isolate your variable. Working with positive variables is preferable and can decrease chances of confusion, so add '4x' to both sides, therefore canceling the '-4x' on the left and moving it to the right. It will now look like this:

5 = 3x+2

Subtract '-2' from both sides to get the '3x' by itself. It looks like this:

3 = 3x

For the final step, you want the x by itself. To do this, divide both sides by '3'. This will effectively cancel the '3' on the right side, moving it away from your variable. Your equation should end up being this:

1 = x

Hope this helps!

6 0
3 years ago
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