Write an equation of a line wit the given slope and y intercept

Mathematics

1 answer:

Orlov [11]4 years ago

6 0

Answer:

Step-by-step explanation:

the standard equation of a line is in the form y=mx+b where m is the slope and b is the y intercept so if m = 1/4 and b = -3/4 you can just replace those spots giving you y=1/4x+-3/4

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A cell phone provider will allow you to buy a phone over time. They require a $50 initial payment and then charge $25 per month.

kumpel [21]

Answer:

Step-by-step explanation:

Given that:

Initial payment done for buying the phone = $50

Charges per month for the phone = $25 per month

To find:

The equation to represent the situation and its slope.

Solution:

First of all, let us assume that $m$ represents the number of months for which monthly is to be made.

Charges paid for one month = $25

Charges paid for $m$ months = $25 $m$

Total cost of the phone = Initial payment + Charges paid for $m$ months

$C = 25m + 50$

It is a linear equation between two variables $C$ and $m$ .

This equation can be compared with slope intercept form of a line.

Slope intercept form of a line is represented by:

$y=Mx+c$

$M$ is the slope.

On Comparing, we get:

$y = C, M = 25, x = m, c = 50$

Therefore, the slope is 25.

5 0

3 years ago

Tanya is training a turtle for a race. For every 1/2 of an hour that the turtle is crawling, he can travel 3/20 of a mile. At wh

vazorg [7]

Answer:

$\frac{6}{20} \ mile\ per\ hour$

Step-by-step explanation:

Given:

For every 1/2 of an hour that the turtle is crawling, he can travel 3/20 of a mile

Question asked:

At what unit rate is the turtle crawling?

Solution:

As here time taken is given and the distance traveled is also given and hence we will apply speed and distance formula to find rate of crawling of turtle.

Time taken by turtle = $\frac{1}{2} \ hour$