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3 years ago

passes through A(-3, 0) and B(-6, 5). What is the equation of the line that passes through the origin and is parallel to ?

Mathematics

2 answers:

cluponka [151]3 years ago

5 0

Answer: -5x -3y = 0

Step-by-step explanation:

took on edmentum/plato and got it right. enjoy :)

goblinko [34]3 years ago

4 0

Answer:

Equation of line , 5x + 3y = 0

Step-by-step explanation:

The slope of a line passing through points (x₁,y₁) and (x₂,y₂) is given by $\frac{y_2-y_1}{x_2-x_1}$

Here points are given by (-3,0) and (-6,5)

Slope $=\frac{5-0}{(-6)-(-3)}=\frac{-5}{3}$

The slope of parallel lines are same. So slope of required line $=\frac{-5}{3}$

Equation of a line with slope m passing through origin is given by

y =mx

So equation of line, $y=\frac{-5}{3}x\\\\3y=-5x\\\\5x+3y=0$

Equation of line , 5x + 3y = 0

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Liono4ka [1.6K]

Answer:

Phyllis invested $11,000 at a simple interest rate of 7 percent per year and $40,000 at a simple interest rate of 4 percent per year.

Step-by-step explanation:

From the information provided, you can write the following equations:

x+y=51000 (1)

0.04x+0.07y=2370 (2), where

x is the portion earning a simple interest rate of 4 percent per year

y is the portion earning a simple interest rate of 7 percent per year

First, you can isolate x in (1):

x=51000-y (3)

Now, you can replace (3) in (2) and solve for y:

0.04(51000-y)+0.07y=2370

2040-0.04y+0.07y=2370

0.03y=330

y=330/0.03

y=11000

Then, you can replace the value of y in (3) to find the value of x:

x=51000-11000

x=40000

According to this, the answer is that Phyllis invested $11,000 at a simple interest rate of 7 percent per year and $40,000 at a simple interest rate of 4 percent per year.

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3 years ago

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denis-greek [22]

Answer:

3/4

Step-by-step explanation:

Choose two coordinates on the line and use the slope formula to figure out the slope.

For example, use coordinates (0,-1) and (4,2).

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Answer:

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Step-by-step explanation:

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