All categories

3 years ago

Which graph has a slope of 1?

Mathematics

2 answers:

tino4ka555 [31]3 years ago

6 0

The top right one, it goes over 1, up 1

Deffense [45]3 years ago

3 0

Answer: Graph (B) is correct. Image is attached below.

Step-by-step explanation: We are given to select the graph that has a slope of 1.

We know that

the slope of a graphed line passing through the points (a, b) and (c, d) is given by

$m=\dfrac{d-b}{c-a}.$

For graph (A) :

the line passes through the points (0, 0) and (4, 1). So, the slope of the graphed line will be

$m=\dfrac{1-0}{4-0}=\dfrac{1}{4}\neq 1.$

So, this option is incorrect.

For graph B :

the line passes through the points (0, 0) and (2, 2). So, the slope of the graphed line will be

$m=\dfrac{2-0}{2-0}=\dfrac{2}{2}=1.$

So, this option is correct.

For graph C :

the line passes through the points (0, 0) and (2, 1). So, the slope of the graphed line will be

$m=\dfrac{1-0}{2-0}=\dfrac{1}{2}\neq 1.$

So, this option is incorrect.

For graph D :

the line passes through the points (0, 0) and (20, 5). So, the slope of the graphed line will be

$m=\dfrac{5-0}{20-0}=\dfrac{5}{20}=\dfrac{1}{4}\neq 1.$

So, this option is incorrect.

Thus, the graph (B), the top second one is the correct option. Its image ia attached below.

You might be interested in

A car dealership has found that the length of time before a major repair is required on the new cars it sells is normally distri

weqwewe [10]

Answer:

Step-by-step explanation:

Hello!

The variable of interest in this case is:

X: length of time before a major repair is required on a new car. (months)

This variable has a normal distribution with mean μ= 36 months and a standard deviation σ= 9 months.

If he wants to set a guarantee period in which only 5% of the sold cars fell, the objective is to find the value of X that has below 5% of the cars that need major repairs before the end of the guarantee period.

Check the attachment, the curve represents the distribution of the population of the time it takes before a new car needs major repairs, I've marked approximately where this value of X should be.

Symbolically:

P(X≤a)=0.05

To reach the proper value of "a" you have to work using the standard normal distribution because is a tabulated distribution and you can extrapolate it to any normal distribution.

$Z= \frac{X-Mu}{Sigma}~N(0;1)$

So the first step is to look in the table of the Z distribution for the value that accumulates 0.05 of probability since it is such a low probability, you have to look for the value in the left side of the table (negative values of Z). You look for 0.05 in the body of the table and then the margins for the corresponding value (see second attachment)

$Z_{0.05}= -1.64$