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3 years ago

Find the equation of the line through the points (−2,7) and (0,5).

Mathematics

1 answer:

DerKrebs [107]3 years ago

6 0

Answer:

y=-x+5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-7)/(0-(-2))

m=-2/(0+2)

m=-2/2

m=-1

y-y1=m(x-x1)

y-7=-1(x-(-2))

y-7=-(x+2)

y=-x-2+7

y=-x+5

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What is the equation of a line that is parallel to -x+3y=6 and passes through the point (3,5)?

Elena-2011 [213]

For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

Where:

m: It's the slope

b: It is the cut-off point with the y axis

By definition, if two lines are parallel then their slopes are equal.

We have the following line:

$-x + 3y = 6\\3y = x + 6\\y = \frac {1} {3} x + \frac {6} {3}\\y = \frac {1} {3} x + 2$

Thus, the slope is: $m_ {1} = \frac {1} {3}$

Then $m_ {2} = \frac {1} {3}$

So, the line is of the form:

$y = \frac {1} {3} x + b$

We substitute the point $(x, y) :( 3,5)$ and find b:

$5 = \frac {1} {3} (3) + b\\5 = b$

Thus, the equation is:

$y = \frac {1} {3} x + 5$

Answer:

$y = \frac {1} {3} x + 5$

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2 years ago

the points plotted below are on the graph of a polynomial. How many roots of the polynomial lie between x=-4 and x=3

Tems11 [23]

Answer:

1 zero: Answer C

Step-by-step explanation:

Keep in mind that the polynomial value is zero at any root. Therefore each point that is a root must lie precisely on the x-axis (where y = 0). In the graph given there is only one such point (Answer C)

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3 years ago

1) Given the function f(x) = 2x -3, evaluate f(3).

igomit [66]

Answer:

1) $f(3) = 3$

2) $x = 2$

Step-by-step explanation:

Given:

$f(x) = 2x -3$

Evaluating $f(3)$ :

$f(3) = 2(3) -3 \\ f(3) = 6 -3 \\ f(3) = 3$

Solving for $f(x) = -1$ :

$2x -3 = 1 \\ 2x -3 +3 = 1 +3 \\ 2x = 4 \\ \frac{2x}{2} = \frac{4}{2} \\ x = 2$

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2 years ago

The highway forming three cities form a right triangle.Walnut Grove is 91.7 miles from Pecan City and 52.4 miles from Almondvill

fenix001 [56]

Answer:

The shortest length possible for that road is 43.0 miles

Step-by-step explanation:

Please, see the attached file.

Thanks.

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2 years ago

Read 2 more answers

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Ivenika [448]

Answer:

Step-by-step explanation:

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3 years ago