All categories

3 years ago

Find the slope of the line 3x – 2y = 6 (hint: find 2 points; then use the slope formula)

1 answer:

8 0

3x - 2y = 6

Your hint gives you a longer method of find the slope for the line. When we are given the equation of the line, we shouldn't bother to find two points. It's only when we are given a graph that using two points to find the slope is helpful.

To find the slope of 3x - 2y = 6, we first need to convert it into slope-intercept form.

Slope-intercept form is y = mx + b. Where m is the slope and b is the y-intercept.

If we solve for y in the equation they gave you, we have converted it into slope-intercept form and it will be easy to find the slope.

3x - 2y = 6

Add 2y on both sides.

3x = 6 + 2y

Subtract 6 on both sides.

3x - 6 = 2y

2y = 3x - 6

Divide by 2 on both sides.

y = (3/2)x - 3

This is now in the form of y = mx + b

y = (3/2)x - 3
y = mx + b

You can see that m = 3/2 and that b = -3

That means that the slope is 3/2 and that the y-intercept is -3.

The slope of the line 3x - 2y = 6 is 3/2 OR 1.5 OR 1 1/2.

You might be interested in

In a study of parents' perceptions of their children's size, researchers asked parents to estimate their youngest child's height

tatyana61 [14]

Answer:

Test statistic t=6.505

P-value=0

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that parents tend to underestimate their youngest child's size.

Then, the null and alternative hypothesis are:

$H_0: \mu=0\\\\H_a:\mu> 0$

The significance level is assumed to be 0.05.

The sample has a size n=39.

The sample mean is M=7.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=7.2.

The estimated standard error of the mean is computed using the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{7.2}{\sqrt{39}}=1.153$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{7.5-0}{1.153}=\dfrac{7.5}{1.153}=6.505$

The degrees of freedom for this sample size are:

$df=n-1=39-1=38$

This test is a right-tailed test, with 38 degrees of freedom and t=6.505, so the P-value for this test is calculated as (using a t-table):

$P-value=P(t>6.505)=0$

As the P-value (0) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that parents tend to underestimate their youngest child's size.

5 0

3 years ago

What is an exponent for 147

Yuri [45]

147 is not a prime number 147= 49 * 3
49 is divisable by 7: 49= 7 * 7
7 is not divisable by anything

5 0

3 years ago

In an auditorium,10,200 people were seated in 12 rows. Find number of people in each row. ____________

dalvyx [7]

Answer:

850 people

Step-by-step explanation:

10,200 people in 12 rows

÷ 12 on both sides:

$\frac{10200}{12}$ people in $\frac{12}{12}$ rows

$850$ people in $1$ row.

4 0

2 years ago

Which of the following represents a relation that is not a function?

Doss [256]

A function is for every input, there is 1 output
aka
x never repeats with a different y

A. x doesn't repeat, it's a function

B. -8 repeats with 34 and 40, this is not a funciton (this is the answer0

C. x doesn't repeat, it's a function

D. x doesn't repeat, it's a function

answer is B

7 0

3 years ago

Let f(x) = x2 + x + 2 and g(x) = 2x2 + 5. Find f(g(x)). Show each step of your work

pochemuha

Answer:

idk hbu

Step-by-step explanation:

7 0

3 years ago