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1 year ago

A line with a slopeof 8/7 passes through the point (7,8). what is its equation in slope-intercept form?

1 answer:

6 0

8x - 7y = 0 is the equation in slope-intercept form of the line with a slope of 8/7 passes through the point (7,8). This can be obtained using the formula of equation for the Slope Intercept Form.

<h3>What is its equation in slope-intercept form?</h3>

The formula of equation for the Slope Intercept Form is given below,

y = mx + b,

where m is the slope of the line, b is the y intercept where the line crosses the y-axis at (0, b).

Here in the question it is given that,

The slope of the line is 8/7

The line passes through the point (7,8)

We have to find the equation in slope-intercept form.

By using formula of equation for the Slope Intercept Form we get,

y = mx + b,

here,

⇒ from the point (7, 8), x = 7 and y = 8

⇒ slope, m = 8/7

To find y intercept we use the slope-intercept form equation,

y = mx + b

8 = (8/7)7 + b

8 = 8 + b

⇒ b = 0

Thus the equation in slope-intercept form will be,

y = mx + b

⇒ y = (8/7)x + 0

⇒ 7y = 8x

⇒ 8x - 7y = 0

Hence 8x - 7y = 0 is the equation in slope-intercept form of the line with a slope of 8/7 passes through the point (7,8).

Learn more about slope-intercept form here:

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Plz help me thanks very nuch whoever helped me

photoshop1234 [79]

Answer:

(1) 56 miles/hour

Step-by-step explanation:

We need to find the average rate of change from t = 2 to t = 9.

At t = 2 hours, d = 106 miles.

At t = 9 hours, d = 498 miles.

The average rate of change in function f(x) from x = a to x = b is

[f(b) - f(a)]/(b - a)

average rate of change from t = 2 to t = 9 =

(498 - 106)/(9 - 2) = 392/7 = 56

Answer: (1) 56 miles/hour

7 0

3 years ago

What type of number is the square root of 16?

OlgaM077 [116]

The answer is 4. the square root of 16=4. 4*4 =16

3 0

3 years ago

Read 2 more answers

Which of the following best describes a sequence?

serg [7]

I think the answer c is the right answer

5 0

3 years ago

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The ratio of boys to girls in a group is 5:3. If there are 18 more boys than girls, work out how

zmey [24]

<h3>Answer: 72 people total</h3>

45 boys, 27 girls

============================================================

Explanation:

g = number of girls

g+18 = number of boys, since there are 18 more boys than girls

For example, if g = 7, then g+18 = 7+18 = 25. In this example, we have 7 girls and 25 boys. The problem with this example is the ratio of boys to girls is 25:7 which is not equal to 5:3

We could use trial and error until we land on the solution, or we can use algebra as shown in the next section.

-------------------

The ratio of boys to girls is 5:3, meaning

(number of boys)/(number of girls) = 5/3

which turns into

(g+18)/g = 5/3

after we make the proper substitutions

Let's solve for g

(g+18)/g = 5/3

3(g+18) = 5g

3g+54 = 5g

54 = 5g-3g

54 = 2g

2g = 54

g = 54/2

g = 27

There are 27 girls.

This leads to,

g+18 = 27+18 = 45

So there are 45 boys

In total, we have 27+45 = 72 people

-----------------------------

Checking the answer:

The claim is that 45/27 is the same as 5/3

For now assume that claim is true. Set the fractions equal to each other and use cross multiplication like so

45/27 = 5/3

45*3 = 27*5

135 = 135

The third equation has the same thing on both sides, so it's a true equation. This must mean the first equation is true as well. Therefore, 45:27 and 5:3 are the same ratio and the answer is confirmed.

You could also use your calculator to note that

45/27 = 1.667

5/3 = 1.667

both decimal values are approximate.

8 0

3 years ago

A room 9m wide has a span roof which slopes at 34 degrees on one side and 44 degrees on the other. Find the length of the roof s

ivann1987 [24]

Answer:

Slope sides are;

5.07 m and 6.39 m

Step-by-step explanation:

I've attached a drawn diagram showing a triangle representing the roof slopes and I have attached it.

From the image attached, the missing angle is θ.

From sum of angles in a triangle,

θ = 180 - (44 + 34)

θ = 102°

Now, a & b represent the slopes of the roof.

Thus, using law of sines which is that;

a/sin A = b/sin B = c/sin C, we can solve as follows;

a/sin 34 = 9/sin 102

a = (9 × sin 34)/sin 102

a = (9 × 0.5512)/0.9781

a = 5.07 m

b/sin 44 = 9/sin 102

b = (9 × sin 44)/sin 102

b = (9 × 0.6947)/0.9781

b = 6.39 m

4 0

3 years ago