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svp [43]
2 years ago
7

If a line passes through the points (2,2) and (4,5), the equation of the line is 2=3/2(x-__)?

Mathematics
1 answer:
andre [41]2 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, 2) and (x₂, y₂ ) = (4, 5) ← 2 points on the line

m = \frac{5-2}{4-2} = \frac{3}{2}

use either of the 2 points for (a, b)

Using (a, b) = (2, 2), then

y - 2 = \frac{3}{2}(x - 2) ← equation of line

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4. What is the unit rate for a pound of seed? Circle the correct answer choice.
Vladimir79 [104]
<h3>Answer:  B) $1.75</h3>

===================================================

Explanation:

To get the unit cost, we divide the total cost over the number of pounds.

We can do this for any row

  • row one: ($17.50)/(10) = $1.75
  • row two: ($35.00)/(20) = $1.75
  • row three: ($52.50)/(30) = $1.75
  • row four: ($70.00)/(40) = $1.75

You don't need to show all four row calculations. You can simply pick one row.

This tells us that each pound costs $1.75

Put another way: the price is $1.75 per pound

3 0
2 years ago
How can you compare ratios to solve a problem?
Sindrei [870]
“To use proportions to solve ratio word problems, we need to follow these steps:
Identify the known ratio and the unknown ratio.
Set up the proportion.
Cross-multiply and solve.
Check the answer by plugging the result into the unknown ratio.”
I hope this helps.
6 0
3 years ago
Read 2 more answers
One thousand students atende queen city elementary school 5/1,000 of the students were absent on Monday how can the number of st
Contact [7]

Answer:

Number of absent student in decimal = 0.005

Step-by-step explanation:

Given:

Number of student = 1,000

Number of absent student = 5 / 1,000

Find:

Write number of absent student in decimal

Computation:

Number of absent student = 5 / 1,000

Number of absent student in decimal = 5 / 1,000

Number of absent student in decimal = 0.005

5 0
2 years ago
An atom has 24 protons and 12 neutrons what is the chemical symbol for the atom?
kykrilka [37]

<u>Answer:</u>

The element is Chromium.

<u>Explanation:</u>

The atom has 24 protons and 12 neutrons.

We know that Cr has 24 number of protons, to the Chemical is Cr (Chromium)

Again, we know that the atomic number is the number of protons and the atomic mass is the sum of proton and neutron.

So, the atomic number is 24 and the atomic mass is (24+12)= 36

Therefore, the symbol is \bold^{36} \mathrm{Cr}_{24}\bold

4 0
2 years ago
Help me.............
geniusboy [140]

Answer:

28.) c.

29.) a and c.

30.) a.

y=3x/5 +18/5

b.

(-6, 0)

31.) y=x-4

Step-by-step explanation:

28.)

pounds is equal to the y value of a graph, while months is equal to the x value of the graph. slope is equal to y/x. Therefore, it is the slope.

29.) rearrange the equation to isolate the y value and then divide every equation by 2. you will then get y=4x+8. When you plug each of the points in, you will notice only a and c are true.

30.) a.

The line equation is: y=mx+b. First find the slope. You can do that with subtracting y values over dividing x values. You should get: 3-6/-1-4=3/5.

With this slope, plug in one of the points for the x and y values, and solve for b. I used the point (-1, 3) and got b=18/5

b.

For this, I found that 0= 3(-6)/5+18/5

31.) Find the slope by subtracting the y values over subtracting the x values. This should give you a slope of 1. After you find the slope, plug in your slope as m in the line equation: y=mx+b. Next, find a point in that plot and plug those in to find the y intercept (b). I chose (-2, -6) and (2, -2) and got a slope of -4. However, you can also see that when x=0, y=-4, so that could also be a nice shortcut.

Hope this helps!

7 0
3 years ago
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