All categories

3 years ago

A line has a y-intercept at (0,−15) and contains the point (−4,−3). What is the equation of the line in slope-intercept form?

Mathematics

1 answer:

nydimaria [60]3 years ago

6 0

Answer: $y=-3x-15$

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" the y-intercept.

Since the given line has a y-intercept at (0,-15), then:

$b=-15$

The formula for calculate the slope is:

$m=\frac{y_2-y_1}{x_2-x_1}$

Knowing that the given line contains the points (0,-15) and (-4,-3), we can calculate the slope. This is:

$m=\frac{-15-(-3)}{0-(-4)}=-3$

Substituting values into $y=mx+b$ , we get that the equation of the line in Slope-Intercept form is:

$y=-3x-15$

You might be interested in

Kayla has 36 yellow stickers, 27 red stickers, and 18 blue stickers. She wants to distribute the stickers into bags so that each

4vir4ik [10]

Answer:

Kayla can put 9 stickers in each bag.

she can distribute it into bags of 9 stickers each of the same colour.

Step-by-step explanation:

Given;

yellow stickers = 36

red stickers = 27

blue stickers = 18

For her to distribute the stickers into bags so that each bag contains only one color of stickers and every bag has the same number of stickers without remainder.

We need to find the highest common factor of the number of the three colours.

36 = 4×9

27 = 3×9

18 = 2×9

We can see that they are all divisible by 9

Therefore, she can distribute it into bags of 9 stickers each

3 0

3 years ago

In ΔABC, ∠B measures 35° and the values of a and b are 19 and 11, respectively. Find the remaining measurements of the triangle,

Anna35 [415]

Answer:

a) ∠A = 82.2° , ∠C = 62.8° , c = 17.01

Step-by-step explanation:

Explanation:-

Step(i):-

Given data ∠B measures 35° and the values of a and b are 19 and 11

∠B = 35° and sides a = 19 and b = 11

By using sine rule

$\frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{Sin C} = 2 R$

now we will use

$\frac{a}{sin A} = \frac{b}{sin B}$

$\frac{19}{sin A} = \frac{11}{sin 35}$

cross multiplication , we get

$\frac{19 X sin 35}{11} = sinA$

sin A = 0.990

A = sin⁻¹( 0.990) = 82.2°

∠A = 82.2°

Step(ii):-

we know that ∠A +∠B +∠C = 180°

∠C = 180° - ∠A -∠B

∠C = 180° -82.2°-35°

∠C = 62.8°

Step(iii):-

we will use formula

$\frac{b}{sin B} = \frac{c}{Sin C}$

$\frac{11}{sin 35} = \frac{c}{Sin 62.8}$

$\frac{11 X sin (62.8)}{sin 35} = C$

c = 17.01

Final answer:-

∠A = 82.2° , ∠C = 62.8° , c = 17.01

4 0

3 years ago

I need an answer ASAP plzzzzzz

valkas [14]

Answer:

F to B Your welcome :)

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Solve the inequality for w . W-9 > 23Simplify your answer as much as possible.

lord [1]

The answer is W>33 this is as simplified at it can be

7 0

3 years ago

For what values of x is the inequality 2/3 + x/3 >1 true?

Travka [436]

Answer:

Step-by-step explanation:

$\frac{2}{3}$ + $\frac{x}{3}$ > 1 ( multiply through by 3 to clear the fractions )

2 + x > 3 ( subtract 2 from both sides )

x > 1

6 0

3 years ago