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2 years ago

Write an equation of the line that passes through the point (4,5) and has a slope of -2.

Mathematics

2 answers:

Marina86 [1]2 years ago

5 0

Answer:

y = - 2x + 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute (4, 5) into the partial equation

5 = - 8 + c ⇒ c = 5 + 8 = 13

y = - 2x + 13 ← equation of line

TiliK225 [7]2 years ago

4 0

Answer:

Step-by-step explanation:

slope=-2

now using slope intercet formof equation of straight line,we get

y=mx+b

or, y=-2x + b

y + 2x =b

2x + y=b ...................... eq(i)

since the line passes through the point (4,5) it satisfies the equation (i)

y=5 and x=4 so,

equation is 2x +y =b

2*4 + 5=b

8+5=b

13=b

substituting the value of b in eq(i)

2x + y=b

2x + y=13

2x + y-13=0 is the required equation of the line.

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laila [671]

The function of the polynomial is (b) $f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)$

From the graph, we have the following highlights

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The above highlights mean that:

The function has a multiplicity of 1 at x = -1 and x = 3
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So, the function of the polynomial is:

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Assume a = 1.

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Hence, the function of the polynomial is (b) $f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)$

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2 years ago

Percentage grade averages were taken across all disciplines at a particular university, and the mean average was found to be 83.

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Correct Ans:
Option A. 0.0100

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First step will be to convert the given score into z score for given mean, standard deviation and sample size and then use that z score to find the said probability. So converting the value to z score:

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Natasha_Volkova [10]

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Step-by-step explanation:

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