The equation of the line passing through the points (4, 15) and (2, 25) can be expressed as y = mx + b. Give the value of b.
Answers
Equation of any line is given by y-mx+b where m is the slope and b is the y intercept.
Two points are given to us .Let us first find the slope
Slope of the points (4,15) and (2,25) is the difference of y divided by difference of x coordinate
m=
Slope m= -5 and any (x,y)=(4,15)
We put these values in y=mx+b to find b (Any of the two given points can be taken as (x,y)
15=-5(4)+b
15=-20+b
Adding 20 both sides
15+20=-20+20+b
35=b
Or b=35.
Slope formula: y1-y2/x1-x2=m, given that x and y are coordinates and m is the slope. You have two sets of coordinates in your question, so I will first use those to find the slope of the equation:
15-25/4-2=m
This reduces to -10/2, or -5.
Slope intercept form: y=mx+b, given m is the slope and b is the y-intercept. Plug the slope in now.
y=-5x+b
Now, use one of the coordinates in the question to solve for b. I'm using (4,15).
15=-5(4)+b
15=-20+b
Add 20 to both sides.
35=b
Your equation is: y=-5x+35
and b=35
I hope this helps :)
Related Questions
Mrs. Sanchez has a bag of assorted nuts that contain almonds, pecans, and walnuts. 1/3 of the nuts are almonds and 3/4 of the remainder are pecans. There are 300 nuts in the bag. How many walnuts are in the bag
The sum of p consecutive integers is 4. What is p?
How do you solve 9s+3=57
Please answer the question on the attachment
Answers
Answer:
62 2/5
Step-by-step explanation:
62 is just the whole number and then you have 4 tenths, which is 4/10 which can be simplified to 2/5, so it's 62 2/5
Answers
To do this, we must first convert the percentage into a decimal. We can do this by either dividing the percentage by 100, or (my personal shortcut) just shifting the decimal point over 2 places to the left.
16% = 0.16
Now, we multiply
0.16 * 150 = 24
16% of 150 is 24.
Hope that helped! =)
Answers
The expanded form of 208,000,478 is 200,000,000+8.000,000+400+70+8.
Given that,
- The number is 208,000,478.
- We need to write the above number in the expanded form.
Based on the above information, the calculation is as follows:
= 208,000,478
= 200,000,000+8.000,000+400+70+8
Therefore, we can conclude that the expanded form of 208,000,478 is 200,000,000+8.000,000+400+70+8.
Learn more: brainly.com/question/17429689
200,000,000+8.000,000+400+70+8
of the blue prism. Which statement is true?
a)The height of the red prism is one-third the height of the blue prism.
b)The height of the red prism is the same as the height of the blue prism.
c)The height of the red prism is six times the height of the blue prism.
d)The height of the red prism is three times the height of the blue prism.
Answers
Answer:
d) the height of red prism is three times the height of the blue prism.
Step-by-step explanation:
i) the volume of a rectangular prism is given by area of base height.
ii) volume of the blue prism is = (base of blue prism) (height of blue prism)
iii) volume of red prism is = (base of red prism) ( height of the red prism)
= ( base of blue prism)
( height of red prism)
iv) it is also given that
volume of blue prism = volume of red prism
⇒ (base of blue prism) (height of blue prism) = (base of red prism)
(height of red prism)
⇒(base of blue prism) (height of blue prism) =
( base of blue prism)
(height of red prism)
⇒ (height of blue prism) = (height of red prism)
∴ height of red prism = 3 height of blue prism
Therefore the correct option is
d) the height of red prism is three times the height of the blue prism.
Answers
18 / x = 20 / 100
20x = 1800
x = 90
The museum had 90 paintings in April.
Hope this helps!! :)
Answers
15 / 5 = 3
15 / 3 = 5
3 / 3 = 1
Therefore, he blinks 5 times a minute.
60 / 5 = 12
5 / 5 = 1
Therefore, he blinks once every 12 seconds.
51 / 1 = 51
51
X 12
= 102
+ 510
= 612
Therefore, 612 seconds passed during 51 blinks.