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Anvisha [2.4K]
3 years ago
7

How would you solve this(what is the equation of the line that passes through the point (3,4) and has a slope of -2/3?)//delta m

ath//

Mathematics
1 answer:
andre [41]3 years ago
6 0

Answer:

y = -\frac{2}{3}x + 6

Step-by-step explanation:

y = mx + b is the formula for slope intercept. What we can do is plug in the slope and coordinate points to find the y-intercept.

4 = -\frac{2}{3}(3) + b

-2/3 times 3 is -2 so you can fill that in place.

4 = -2 + b

<u>+2   +2     </u>

6 = b

So the y-intercept is 6 now we can complete the equation.

y = -\frac{2}{3}x + 6

Hope that helps and have a great day!

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Use substitution to solve the<br> following system of equations.<br> - 4y - 5x = 30 AND x= y + 3
IRISSAK [1]

Answer:

The solution to the system of equations is y = -5 and x = -2.

Step-by-step explanation:

The question tells us to use substitution to solve the system.  This means that the given value for x (in terms of y) should be substituted into the other equation.  This is modeled below:

-4y - 5x = 30

-4y - 5(y+3) = 30

Next, we should use the distributive property to simplify the left side of the equation.

-4y -5y - 15 = 30

The next step is to combine like terms on the left side of the equation.

-9y - 15 = 30

Then, we can add 15 to both sides of the equation.

-9y = 45

Finally, we can divide both sides of the equation by -9.

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To find the value for x, we substitute in the value we just found for y into either of our original equations.

x = y + 3

x = -5 + 3

x = -2

Therefore, the correct answer is y = -5 and x = -2.

Hope this helps!

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Answer:

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Step-by-step explanation:

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