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3 years ago

What is the equation of the line that passes through the point (−1,−5) and has a slope of −3?

Mathematics

1 answer:

Hitman42 [59]3 years ago

6 0

Answer:

$y=-3x-8$

Step-by-step explanation:

Linear equations are typically organized in slope-intercept form:

$y=mx+b$ where $m$ is the slope and $b$ is the y-intercept (the value of y when the line crosses the y-axis)

1) Plug the slope (m) into the equation

We're given that the slope is -3. Plug -3 into the equation

$y=-3x+b$

2) Solve for the y-intercept (b)

To solve for b, plug the given point (-1,-5) into the equation as (x,y).

$-5=-3(-1)+b\\-5=3+b$

Subtract 3 from both sides

$-5-3=3+b-3\\-8=b$

Therefore, the y-intercept is -8. Plug -8 back into our original equation as b

$y=-3x-8$

I hope this helps!

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Which angles are vertical angles in the figure shown? Select two answers.

sukhopar [10]

Answer:

B and C

Step-by-step explanation:

Vertical angles are formed when you make lines make an x shape (or a turned x shape). The vertical angles are, on a normally positioned x the top and bottom angle, as well as the left and right angle. so every x has 2 vertcial angles unless the x is further split up.

So the part with angles 1. 2. 3 and 4 the top angle is 2, the bottom is 3, the left angle is 1 and the right angle is 4. This means the vertical angle pairs are 1 and 4 as well as 2 and 3.

So in total there are 2 x shapes, so 4 pairs of vertical angles. Here are all the vertical angles.

1 and 4

2 and 3

5 and 8

6 and 7

So from your choices you have 2 and 3 as choice B and 5 and 8 as choice C.

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2 years ago

A bus can hold up to 30 students. 10 have already got in class. the inequality is

stiv31 [10]

Answer:

20? i dont know hopefully im right

Step-by-step explanation:

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3 years ago

Rewrite the following 7(3+5=___+___

Ray Of Light [21]

Answer:

21+35

Step-by-step explanation:

use distributive property, multiply 7 by the two numbers in the parenthesis

keep the problem though.

6 0

2 years ago

Laws of Sines with find the angle.

Jobisdone [24]

A divide by sin A = b divide by sin B
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4 0

3 years ago

Read 2 more answers

Please help this is timed! I’ll give brainliest.

lakkis [162]

Answer:

a. Function 1

b. Function 3

c. Function 2, Function 3 and Function 4

Step-by-step explanation:

✔️Function 1:

y-intercept = -3 (the point where the line cuts across the y-axis)

Slope, using the two points (0, -3) and (1, 2):

$\frac{y_2 - y_1}{x_2 -x_1} = \frac{2 -(-3)}{1 - 0} = \frac{5}{1} = 5$

Slope = 5

✔️Function 2:

y-intercept = -1 (the value of y when x = 0)

Slope, using the two points (0, -1) and (1, -4):

$\frac{y_2 - y_1}{x_2 -x_1} = \frac{-4 -(-1)}{1 - 0} = \frac{-3}{1} = -3$

Slope = -3

✔️Function 3: y = 2x + 5

y-intercept (b) = 5

Slope (m) = 2

✔️Function 4:

y-intercept = 2

Slope = -1

Thus, the following conclusions can be made:

a. The function's graph that is steepest is the function whose absolute value of its slope is greater. Therefore Function 1 is the steepest with slope of 5

b. Function 3 has a y-intercept of 5, which is the farthest from 0.

c. Function 2, Function 3, and Function 4 all have y-intercept that is greater than -2.

-1, 5, and 2 are all greater than -2.

4 0

3 years ago