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VikaD [51]
3 years ago
5

Which equation has a graph that goes through the points (4, -6) and (0, 6)?

Mathematics
1 answer:
Ugo [173]3 years ago
4 0

Answer:

y = -3x + 6\\

Step-by-step explanation:

Find the gradient of the equation

\frac{Difference in y}{Difference in x} \\\\\frac{6 - - 6}{0 - 4}  = \frac{12}{-4} = -3

The equation will have the gradient -3x

Use the general equation of a line, and substitute the coordinates in to find the y-intercept.

y = x + c\\ y = -3x + c\\

(4, -6)

-6 = -3(4) + c\\ -6 = -12 + c\\ -6 + 12 = c\\ c = 66 = -3(0) + c\\ 6 = 0 + c\\ c = 6

(0, 6)

6 = -3(0) + c\\ 6 = -0 + c\\ c = 6

The equation of the line is

y = -3x + 6\\

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HELPPP
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Answer:

HL (Hypotenuse Leg)

Step-by-step explanation:

You have BC=CD (Because of reflexive property), AC=DC, and measure of BAC is equal to the measure of BDC, which is 90 degrees. Since these triangles are right and they have a hypotenuse and a leg congruent, you can say that they are congruent because of HL.

4 0
3 years ago
which of the following lines is parallel to the graph of 5x+2y=8? a) 2x+5y=3 b) 5x-2y=6 c) -10x-4y=7 d) -10x+4y=9
zaharov [31]
I hope this helps you

3 0
3 years ago
Equation for ( 6, 13) ( 7900, 5 )
tia_tia [17]

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

y=mx+b

Where:

m: It is the slope of the line

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

We have the following points through which the line passes:

(x_ {1}, y_ {1}) :( 6,13)\\(x_ {2}, y_ {2}): (7900,5)

We find the slope of the line:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {5-13} {7900-6} = \frac {-8} {7894} = - \frac {4} {3947}

Thus, the equation of the line is of the form:

y = - \frac {4} {3947} x + b

We substitute one of the points and find b:

13 = - \frac {4} {3947} (6) + b\\13 = - \frac {24} {3947} + b\\13+ \frac {24} {3947} = b\\b = \frac {51335} {3947}

Finally, the equation is:

y = - \frac {4} {3947} x + \frac {51335} {3947}

Answer:

y = - \frac {4} {3947} x + \frac {51335} {3947}

5 0
3 years ago
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natima [27]

Answer:

Step-by-step explanation:  40

4 0
3 years ago
What is the factorization of the polynomial below? x^3 + 8x^2 + 17x + 10
faltersainse [42]

Answer:

This is your answer.

Step-by-step explanation:

Hope is helps!!

8 0
3 years ago
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