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3 years ago

Write the equation of the line that passes through (2, -10) and has a slope of -3.

Mathematics

2 answers:

gladu [14]3 years ago

8 0

Answer:

y = -3x - 4

Step-by-step explanation:

y = mx + b

-10 = -3 (2) + b

-10 = -6 + b

b = -4

strojnjashka [21]3 years ago

4 0

Y = -3x - 4 would be the equation

to check you can plugin (2,-10)

-10 = -3(2) - 4

-10 = -6 - 4

-10 = -10

You might be interested in

Is he square root of -144 rational or irrational?

gladu [14]

Answer:

Step-by-step explanation:

Neither.

It is a complex number. The - sign is the culprit. sqrt(-144) = i * sqrt(144) = 12 i

The "i" is an imaginary representation for the square root of -1. It is a definition for sqrt(-1). So a new category of number has been created. The ancients would have been profoundly surprised to learn that such a thing existed.

3 0

3 years ago

What is the equation of the line that is perpendicular to the given line and passes through the point (3, 0)?

olga2289 [7]

Step $1$

Find the slope of the given line

Let

$A(-3,2)\ B(2,-1)$

slope mAB is equal to

$mAB=\frac{(y2-y1)}{(x2-x1)} \\ \\ mAB=\frac{(-1-2)}{(2+3)} \\ \\ mAB=-\frac{3}{5}$

Step $2$

Find the slope of the line that is perpendicular to the given line

Let

CD ------> the line that is perpendicular to the given line

we know that

If two lines are perpendicular, then the product of their slopes is equal to $-1$

$mAB*mCD=-1\\ mAB=-\frac{3}{5} \\ mCD=-\frac{1}{mAB} \\ mCD=\frac{5}{3}$

Step $3$

Find the equation of the line with mCD and the point (3,0)

we know that

the equation of the line in the form point-slope is equal to

$y-y1=m(x-x1)\\\\ y-0=\frac{5}{3} *(x-3)\\\\ y=\frac{5}{3} x-5$

Multiply by $3$ both sides

$3y=5x-15$

$5x-3y=15$

therefore

the answer is

the equation of the line that is perpendicular to the given line is the equation $5x-3y=15$

4 0

3 years ago

Read 2 more answers

How many 1/6 pieces are there in 3/6

dmitriy555 [2]

Answer:

there are 3 1/6 pieces

Step-by-step explanation:

since 3 x 1/6=3/6.

another explanation:

(3/6)/(1/6)=(3/6) x (6/1) since you multiply by inverse when dividing fractions. Then, (3/6) x (6/1) = 18/6, which equals 3.

8 0

3 years ago

Experts please please PLEASE answer this question ASAP! Due today.

quester [9]

The height of the given trapezoid is 7.5 m.

Step-by-step explanation:

Step 1:

The trapezoid's area is calculated by averaging the base lengths and multiplying it with the trapezoid's height.

The trapezoid's area, $A = \frac{b_{1}+b_{2}}{2} (h).$

Here $b_{1}$ is the lower base length and $b_{2}$ is the upper base length while h is the height.

Step 2:

In the given problem, $b_{1}=5 \mathrm{m}$ and $b_{2}=3 \mathrm{m}$ . Assume the height is h m.

The trapezoid's area $= 30.$

$30 = \frac{5+3}{2} (h), 30 = (4)(h).$

$h = \frac{30}{4} = 7.5.$

So the height of the given trapezoid is 7.5 m.

8 0

3 years ago

Can you prove this congruent? Using what theorem/postulate?

slavikrds [6]

I'd say that, if the angles S and U are equal, as the SV and UV segments move towards each other, they meet at vertex V, the angles they make, angle SVT and UVT, have to be equal, because the side TV is shared by both, and has the same direction.

now, side TV is on both triangles, and is shared by both, so is the same length, so TV on one triangle is equal to TV on the other

check the picture below

so, you have one Angle, another Angle, and then a Side
A A S

3 0

3 years ago