All categories

2 years 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:

brainly.com/question/9682526

#SPJ4

You might be interested in

What is equivalent to 5(9q + 7)

Andrej [43]

Answer:

45q + 35

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

I need your help guys help me differentiate this question

Elden [556K]

Answer:

$6((4 {x}^{3} - 5x + 1) ^{ - 4} + 4 {x}^{10} + 4) ^{5} \times (- 4(4x ^{3} - 5x + 1)^{ - 5} \times 12 {x}^{2} - 5 ) + 40 {x}^{9}$

3 0

3 years ago

Yuto and Riko went for a bike ride on the same path. When Riko left their house, Yuto was 5.25 miles along the path. If Yuto’s a

Nimfa-mama [501]

Answer:

Step-by-step explanation:

When Riko left his house, Yuto was 5.25 miles along the path.

Average speed of Riko = 0.35 miles per minute

Average speed of Yuto = 0.25 miles per minute

First we will calculate the time in which Riko will catch Yuto on the track.

Relative velocity of Riko as compared to Yuto will be = velocity of Riko - velocity of Yuto

= 0.35 - 0.25

= 0.10 miles per minute

Now we this relative velocity tells that Riko is moving and Yuto is in static position.

By the formula,

Average speed = $\frac{Distance}{Time}$

0.10 = $\frac{5.25}{t}$

t = $\frac{5.25}{0.1}$

t = 52.5 minutes

Now we know that Rico will catch Yuto in 52.5 minutes. Before this time he will be behind Yuto.

So duration of time in which Rico is behind Yuto will be 0 ≤ t ≤ 52.5

Here time can not be less than zero because time can not be with negative notation. It will always start from 0.

3 0

4 years ago

Read 2 more answers

In 4 minutes, a conveyor belt moves 800 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt

kkurt [141]

Answer:

It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.

Step-by-step explanation:

Given - In 4 minutes, a conveyor belt moves 800 pounds of recyclable

aluminum from the delivery truck to a storage area. A smaller belt

moves the same quantity of cans the same distance in 6 minutes.

To find - If both belts are used, find how long it takes to move the cans

to the storage area.

Proof -

Given that,

Larger belt take 4 minutes to transfer the aluminium from delivery truck to storage area.

⇒ Time taken by Larger belt = 4 min/ shifting

Also,

Smaller belt take 6 minutes to transfer the aluminium from delivery truck to storage area.

⇒ Time taken by Smaller belt = 6 min/ shifting

Now,

As we know that Time is inversely proportional to time, so

Rate of Larger Belt = $\frac{1}{4}$ shifting/min

Rate of Smaller Belt = $\frac{1}{6}$ shifting/min

Now,

Let us assume that , if both belts used then,

Total time taken = x min/shifting

Then, Rate = $\frac{1}{x}$ shifting/min

Now,

$\frac{1}{4}$ + $\frac{1}{6}$ = $\frac{1}{x}$

⇒ $\frac{6 + 4}{24} = \frac{1}{x}$

⇒ $\frac{10}{24} = \frac{1}{x}$

⇒10x = 24

⇒x = $\frac{24}{10}$ = 2.4 minutes

∴ we get

It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.

3 0

3 years ago

If Josie wants to buy cupcakes and cookies for a party with a budget of

kolezko [41]

Answer:

50 cupcakes, 150 cookies

Step-by-step explanation:

3 0

3 years ago