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3 years ago

Graph a line that has a slope of -3 and contains the point (4,-2)

Mathematics

1 answer:

Ksivusya [100]3 years ago

6 0

Answer:

The equation of the line is:

$y = -3x+10$

The graph is attached below.

Step-by-step explanation:

Given that the line has a slope of -3, so

m = -3

As the point contains the point (4, -2), so we can use the point-slope form of the line equation to determine the line.

Point slope form:

$y-y_1=m\left(x-x_1\right)$

where m is the slope of the line and (x₁, y₁) is the point

so substituting the values m = -3 and the point (4, -2)

$y-y_1=m\left(x-x_1\right)$

$y - (-2) = -3(x-4)$

$y+2 = -3x+12$

$y = -3x+12-2$

$y = -3x+10$

Therefore, the equation of the line is:

$y = -3x+10$

The graph is attached below.

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Which points lie on the line that passes through point P and

4vir4ik [10]

Answer:

(-5,-1)

Step-by-step explanation:

First, draw a parallel line to the blue one that has a slope of over 1 to the right and up 1.

Second, look at the new line and see if any of the points are on the line.

All of the other point do not fall on the new line.

6 0

4 years ago

Read 2 more answers

Need help asap please

jonny [76]

Answer:

B. x= 4

Step-by-step explanation:

We know that,

The result for the intersection of the secant and the tangent is given by by the figure below,

$UV^{2}=UX\times UY$

According to the question, we have,

$8^{2}=x(12+x)$

i.e. $64=12x+x^2$

i.e. $x^2+12x-64=0$

Now, the solution of a quadratic equation $ax^2+bx+c=0$ is given by, $x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$

So, we get,

$x^2+12x-64=0$ implies a= 1, b= 12 and c= -64.

Thus, the solution is given by,

$x=\frac{-12\pm \sqrt{12^{2}-4\times 1\times (-64)}}{2\times 1}$

i.e. $x=\frac{-12\pm \sqrt{144+256}}{2}$

i.e. $x=\frac{-12\pm \sqrt{400}}{2}$

i.e. $x=\frac{-12\pm 20}{2}$

i.e. $x=\frac{-12-20}{2}$ and i.e. $x=\frac{-12+20}{2}$

i.e. $x=\frac{-32}{2}$ and i.e. $x=\frac{8}{2}$

i.e x= -16 and x= 4.

Since, length cannot be negative.

So, we have, x= 4.

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3 years ago

A package of cookies contains 6 cookies. Each package of cookies costs $1.49. A function, f(x), is written to represent the cos

Ronch [10]

You define a function f(x) which gives the cost of buying x packages of cookies. You are asked for the domain of the function. That is, what values can x take on? x is the number of packages bought.

It makes no sense to buy a negative number of packages. It also makes no sense to buy 1/2 a package or 3/4 of a package as the store won’t sell you a fraction of a package. Try going to the store and buying half a package of oreo cookies. I doubt you’ll get very far :)

So it makes sense to buy 0, 1, 2, 3, 4, ... boxes of cookies. These are whole numbers. So the domain is the set of whole numbers. You could also write the domain like this {0, 1, 2, 3, ...} making sure to use the curly brackets as those denote a set.

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4 years ago

Ax+by=c What is the equivalent equation

kenny6666 [7]

Ax plus BY equals C.

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3 years ago

Find the percent of change. Round to the nearest whole percent. The building was

Black_prince [1.1K]

Answer:

56.05%

Step-by-step explanation:

your welcome

5 0

3 years ago

Read 2 more answers