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tamaranim1 [39]
3 years ago
6

Write in point-slope form an equation of the line that passes through the point (6,−1) with slope −1/3.

Mathematics
2 answers:
lesya [120]3 years ago
7 0

Answer:

y=-\frac{1}{3} x-3

Step-by-step explanation:

If you graph the equation, you'll see that the y-intercept is -3 and the slope is \frac{1}{3}

SSSSS [86.1K]3 years ago
6 0

Answer:

y-1=-\frac{1}{3}\left(x-0\right)

Step-by-step explanation:

I graphed the equation on the graph below. I used the slope and the point given to create the equation of the line.

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Solve the following equations then place the correct number in the box provided.
alexira [117]
The answer is negative two I believe so if I’m right I’m not 100% sure on this one
6 0
3 years ago
Which equation does the graph of the systems of equations solve?
mihalych1998 [28]

Answer:

\text{B. }\frac{1}{3}x-3=-x+1

Step-by-step explanation:

Let's start by taking a look at the blue line. The slope of any line that passes through two points is equal to the change in y-values over the change in x-values. We can see that the line passes through points (0, 1) and (1, 0). Assign these points to (x_1,y_1) and (x_2, y_2) (doesn't matter which you assign) and use the slope formula:

m=\frac{y_2-y_1}{x_2-x_1}

Let:

(x_1,y_1)\implies (0,1)\\(x_2,y_2)\implies (1, 0)

The slope is equal to:

m=\frac{0-1}{1-0}=\frac{-1}{1}=-1

Therefore, the slope of this line is -1. In slope-intercept form y=mx+b, m represents slope, so one of the lines must have a term with -x in it, which eliminates answer choices A and D.

For the second line, do the same thing. The red line clearly passes through (0, -3) and (3, -2). Therefore, let:

(x_1,y_1)\implies (0,-3)\\(x_2,y_2)\implies (3, -2)

Using the slope formula:

m=\frac{-2-(-3)}{3-0}=\frac{1}{3}

Thus, the slope of the line is 1/3 and the other line must have a term with \frac{1}{3}x in it, eliminating answer choice C and leaving the answer \boxed{\text{B. }\frac{1}{3}x-3=-x+1}

*You can find the exact equation of each line by using the slope formula as shown and plugging in any point the line passes through into y=mx+b

7 0
2 years ago
If red oak lumber weighs 63 pounds per cubic foot, how much does one cord of red oak weigh? (A cord is a measurement for bulk wo
dsp73

Answer: Option C. 8,064 pounds

Solution:

Unit weight: U=63 pounds/foot^3

Total Weight: W=?

W=U*V

Volume: V

Length: l=8 feet

Width: w=4 feet

Height: h=4 feet

V=l*w*h

Replacing the knwon values in the formula above:

V=(8 feet)*(4 feet)*(4 feet)

V=128 feet^3

Replacing in the formula of total Weight:

W=U*V

W=(63 pounds/foot^3)*(128 feet^3)

W=8,064 pounds

8 0
3 years ago
Please help me! :( <br> i'll mark you brainliest &lt;3 20 point<br> (maths)
bogdanovich [222]

Answer: a) 4 b) you could make up to 8 liters

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is an equation of the line that passes through the points (0, 3) and (5,-3)?
Arisa [49]

Answer:

The equation of the line that passes through the points (0, 3) and (5, -3) is y = -\frac{6}{5}\cdot x +3.

Step-by-step explanation:

From Analytical Geometry we must remember that a line can be formed after knowing two distinct points on Cartesian plane. The equation of the line is described below:

y = m\cdot x + b (Eq. 1)

Where:

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

m - Slope, dimensionless.

b - y-Intercept, dimensionless.

If we know that (x_{1},y_{1}) = (0,3) and (x_{2},y_{2})=(5,-3), the following system of linear equations is constructed:

b = 3 (Eq. 2)

5\cdot m + b = -3 (Eq. 3)

The solution of the system is: b = 3, m = -\frac{6}{5}. Hence, we get that equation of the line that passes through the points (0, 3) and (5, -3) is y = -\frac{6}{5}\cdot x +3.

5 0
3 years ago
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