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3 years ago

What is the equation of the line that passes through the point (-5,-2) and has a slope of -6/5

Mathematics

1 answer:

tatyana61 [14]3 years ago

5 0

Answer:

The answer is

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

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

where

m is the slope

( x1 , y1) is the point

From the question the point is (-5,-2) and the slope is - 6/5

The equation of the line is

$y + 2 = - \frac{6}{5} (x + 5) \\ y + 2 = - \frac{6}{5} x - 6 \\ y = - \frac{6}{5} x - 6 - 2$

We have the final answer as

$y = - \frac{6}{5} x - 8 \\$

Hope this helps you

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Can someone help me Determine the intercepts of the line.

slavikrds [6]

Greetings!

To find the y-intercept, we can arrange the equation in slope y-intercept form:
$y=mx+b$

Rearrange:
$y+1=3(x-4)$

$y+1=3x-12$

$y=3x-13$

The y-intercept is: -13
$\boxed{(0,-13)}$

To find the x-intercept, we can input the value <<0>> in the place of y, as every x-intercept only occurs when y=0:
$(0)=3x-13$

Solve for x:
$0=3x-13$

$13=3x$

$\frac{13}{3}= \frac{3x}{3}$

$x=\frac{13}{3}$

The x-intercept is: $\frac{13}{3}$
$\boxed{(\frac{13}{3},0)}$

I hope this helped!
-Benjamin

5 0

3 years ago

Help please answer now I will give U the crown thingy

Tomtit [17]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Lamar wanted to explain why the measure of angle 5 is equal to the sum of the measures of angles 1 and 3. A triangle with angles

Sati [7]

Lamar explains it correctly. Then the angle ∠5 is equal to the sum of angles ∠1 and ∠2.

<h3>What is an angle?</h3>

Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Lamar wanted to explain why the measure of angle 5 is equal to the sum of the measures of angles 1 and 3.

A triangle with angles 1, 2, 3. The exterior angle to angle 1 is 4, to 2 is 5, to 3 is 6.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

∠2 + ∠5 = 180° ...1

Triangle - The sum of the angle of the triangle is 180 degrees.

∠1 + ∠2 + ∠3 = 180° ...2

From equations 1 and 2, we have

∠2 + ∠5 = ∠1 + ∠2 + ∠3

∠5 = ∠1 + ∠3

Thus, angle ∠5 is equal to the sum of angles ∠1 and ∠2.

More about the angled link is given below.

brainly.com/question/15767203

8 0

2 years ago

Point S is located on RT so that RS/ST = 1/4. What are the coordinates of Point S? (4 , 4 ) (2.4, 2.4) (8 , 8 ) (4.4, 4.4)

valina [46]

Answer:

(4.4, 4.4)

Step-by-step explanation:

The point S can be found as the weighted average of the end points. The relative weights are the reverse of the distances to the end points:

RS : ST = 1 : 4

S = (4R +1T)/5

S = (4(2, 2) +(14, 14))/5 = (22, 22)/5

S = (4.4, 4.4)

6 0

3 years ago

Jeb is the local tennis pro at the country club, and he needs to know at what height the tennis ball needs to be when he hits it

suter [353]

Answer:

The height from ground, at which Jeb needs to hit the ball is 7.8 meters

Step-by-step explanation:

The given parameters are;

The distance away the tennis ball is hit = 20 meters;

The height of the tennis net = 0.3 m

The distance from the net the ball lands = 4 meters

The time the ball takes to land from the 0.3 m net height is given as follows;

t = √(h/(1/2×g)) = √(0.3/(1/2 × 9.8)) ≈ 0.2474

t ≈ 0.2474 seconds

The speed of the ball = Distance/Time = 4/0.2474 ≈ 16.166

The speed of the ball ≈ 16.166 m/s

The time it takes the ball to reach the net = 20/16.166 ≈ 1.24

The time it takes the ball to reach the net, tₓ ≈ 1.24 seconds

The height, hₓ the ball falls in 1.24 seconds is given as follows;

hₓ = 1/2·g·tₓ² = 1/2 × 9.8 × 1.24² = 7.5

The height, hₓ the ball falls in 1.24 seconds = 7.5 m

The height the ball falls in the time taken to reach the net from 20 meters = The height, hₓ the ball falls in 1.24 seconds

Therefore, the height at which Jeb needs to hit the ball = The height the ball falls in the time taken to reach the net from 20 meters + The height of the net = 7.5 m + 0.3 m = 7.8 m

The height at which Jeb needs to hit the ball = 7.8 m

4 0

3 years ago