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3 years ago

Write an equation in point-slope form of the line that passes through the given point and has the given slope. (12, 5); m = -3

Mathematics

1 answer:

givi [52]3 years ago

7 0

Answer:

y - 5 = -3(x - 12)

Step-by-step explanation:

Point slope form is: y - y1 = m(x - x1), where (x1, y1) is a point on the line, and m is the slope of the line.

Plug in the point and the slope:

y - y1 = m(x - x1)

y - 5 = -3(x - 12)

So, y - 5 = -3(x - 12) is the equation in point slope form of the line.

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Mary has a third of the money that Erin has. Erin has $8 less than John. Together they have $267. How much money does each of th

svet-max [94.6K]

Mary = (1/3)x

Erin = x - 8

John = x

Here is your equation:

(1/3)x + (x - 8) + x = 267

Take it from here.

5 0

3 years ago

Read 2 more answers

Indicate in standard form the equation of the line passing through the given point and having the given slope. R(4,0), m=5

liberstina [14]

First you put the equation in point slope form- Y-0= 5x - 4
Then add the zero to the 4.
Final answer: y= 5x -4

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3 years ago

Bath and 1 yard of ribbon. She is 1/2 yard for project. She wants to divide the rest of the ribbon into pieces 1/4 yards long. H

ikadub [295]

Answer:

Step-by-step explanation:

Given:

Total length of ribbon = 1 yard

Length of ribbon used for project = $\frac{1}{2}$ yard

Length of ribbon the rest of ribbon is to be divided = $\frac{1}{4}$ yard

To find:

The number of ribbons of length $\frac{1}{4}$ yard that can be made = ?

Solution:

Length of ribbon left after the 1 yard ribbon is used for project can be calculated by subtracting the length of ribbon used from the initial length of ribbon.

i.e.

Length of ribbon left = $1-\frac{1}{2} =\frac{1}{2}$ yard

Now, number of ribbon of length $\frac{1}{4}$ yard can be found be dividing the length of ribbon left with the length of ribbon pieces to be cut.

i.e.

Number of ribbons:

$\dfrac{\frac{1}{2}}{\frac{1}{4}}\\\Rightarrow \dfrac{1}{2}\times 4 = 2$

3 0

3 years ago

What is the value of x if 3x - 6 = 21 ?

Anestetic [448]

Answer:

Step-by-step explanation:

$3x-6=21\qquad\text{add 6 to both sides}\\\\3x-6+6=21+6\\\\3x=27\qquad\text{divide both sides by 3}\\\\\dfrac{3x}{3}=\dfrac{27}{3}\\\\x=9$

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3 years ago

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The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function?

gogolik [260]

Answer: If you plot a point in the y-axis at -6, you can plot two more points by using the slope "rise over run" Then draw a line connecting the points.

The coordinate of the y intercept is (0.-6) To find the first x values of the first 2 coordinates, add 1 then 2 to 0. To find the y values, add 2 then 4 to the -6

Step-by-step explanation:

From -6 go up 2 over 1 and plot at (1, -4 ) then up 2 over 1 again to (2, -2)

The x- intercept will be at (3,0)

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3 years ago

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