B

What is an equation of the line that passes through the points (0,7) and (5,4? Put your answer in fully reduced form.

gregori [183]

Answer (assuming it can be in slope-intercept format):

$y = -\frac{3}{5} x+7$

Step-by-step explanation:

When knowing the y-intercept of a line and its slope, we can write an equation representing it in slope-intercept form, or $y = mx + b$ .

1) First, find the slope of the equation. Use the slope formula, $m = \frac{y_2-y_1}{x_2-x_1}$ , to find the slope. Substitute the x and y values of the given points into the formula and simplify:

$m = \frac{(4)-(7)}{(5)-(0)} \\m = \frac{4-7}{5-0} \\m = \frac{-3}{5}$

Thus, the slope is $-\frac{3}{5}$ .

2) Usually, we would have to use one of the given points and the slope to put the equation in point-slope form. However, notice that the point (0,7) has an x-value of 0. All points on the y-axis have an x-value of 0, thus (0,7) must be the y-intercept of the line. Now that we know the slope of the line and its y-intercept, we can already write the equation in slope-intercept format, represented by the equation $y = mx + b$ . Substitute $m$ and $b$ for real values.

Since $m$ represents the slope, substitute $-\frac{3}{5}$ in its place in the equation. Since $b$ represents the y-intercept, substitute 7 in its place. This gives the following equation and answer:

$y = -\frac{3}{5} x+7$

4 0

3 years ago

A large diamond with a mass of 4289.6 grams was recently discovered in a mine. If the density of the diamond is 3.51 grams over

sweet [91]

There are several information's already given in the question. Based on those information's the answer can be deduced.
Mass of the diamond = 4289.6 grams
Density of the diamond = 3.51 gm/cm^3
Then
Volume of the diamond = 4289.6/3.51
= 1221.9 cm^3
From the above deduction, it can be easily concluded that the correct option among all the options that are given in the question is the third option or the penultimate option.

8 0

3 years ago

Read 2 more answers

If x-2 is a factor of x^2+3x+k, what is the value of k?

Ne4ueva [31]

Take x-2=0

x=2

put the value of x in the equation

2^2 + 3(2) + k =0
4+6+k=0
10+k=0
k= -10

hope you understand

5 0

3 years ago

□+□+□=30 Fill in the boxes using 1,3,5,7,9,11,13,15 You can also repeat the number?

adelina 88 [10]

It is impossible to get the result of 30 using just odd numbers in the blanks.

Using factorials, we get 3! + 11 + 13 = 30 or 3! + 9 + 15 = 30

Solution:

----- + ------ + ------- = 30

We have to fill with numbers 1, 3, 5, 7, 9, 11, 13, 15 to get 30

We can also repeat the number

Given are the set odd numbers like 1, 3, 5, 7, 9, 11, 13, 15

We need three numbers to fill in the box to get 30

When three odd numbers are added, it results in odd number

But we should get 30, which is a even number

So it is impossible to get the result of 30 using just odd numbers in the blanks.

Using tricks, some of solutions are:

We can use factorial

3! + 9 + 15 = 6 + 9 + 15 = 30

Or

3! + 11 + 13

So, 6 + 11 + 13 = 30

5 0

3 years ago

6th grade math , help me please :)

vovangra [49]

Answer:B

Step-by-step explanation:

5 0

4 years ago