The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = (x – 8). What is the slope-intercept form of the equation for this line?
Answers
m=slope b=y intercept
convert current equation to slpe intercept
y-4=x-8
add 4 to both sides
y=x-4
tada
Final answer:
The slope-intercept form of the given line, expressed in point-slope form as y - 4 = (x - 8), is y = x - 4. This indicates a slope of 1 and a y-intercept of -4.
Explanation:
The point-slope form of the equation of the line, y – 4 = (x – 8), illustrates a line passing through the point (8, 4) with a specific slope. The slope is the difference in the y-coordinates divided by the difference in the x-coordinates, as illustrated in the given figures.
In general, the equation of a straight line in slope-intercept form is given by y = mx + b, where m is the slope of the line and b is the y-intercept, i.e., the value of y when x is zero.
To convert the original equation into slope-intercept form, rearrange it by solving for y. First, rewrite the equation as y - 4 = x - 8, then add 4 to each side to isolate y:
y = x - 8 + 4
y = x - 4
So, the slope-intercept form of the equation for this line is y = x - 4, implying the line has a slope (m) of 1 and a y-intercept (b) of -4.
Learn more about Slope-Intercept Form here:
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Which one of these numbers are not like the others? 21, 15, 6, 16, 27
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Use the elimination method to solve the system of equations. Choose the correct ordered pair. 3x - y = -13x + 3y = 27
Which of the following ratios are equivalent to 6:8?9:1212 to 1624:3616 to 24
Answers
Answer
= $100
Explanation
Profit = selling price - buying price
percentage profit = profit/buying price × 100%
100% = profit /$50
Profit = 100% × $50
= 100/100 × $50
= 1 × $50
= $50
Selling price = buying price + profit
= $50 + $50
= $100
100% would be doubling it.
Answers
+ 16 + 16
2 ≥ ¹/₃x
3(2) ≥ 3(¹/₃x)
6 ≥ x
x ≤ 6
Solution Set: (-∞, 6]
5 < ¹/₈m + 5
- 5 - 5
0 < ¹/₈m
8(0) < 8(¹/₈m)
0 < m
m > 0
Solution Set: (0, ∞)
options:
a. 2(square root) -7
b. -2(square root) -7
c. i(square root) 28
d. 2i(square root) 28
Answers
√ ( - 28 )
We know that √ (-1 ) = i ( the imaginary unit )
√ ( - 28 ) = √ 28 * ( - 1 ) = i √ ( 28 ) = i √ ( 4 * 7 ) = 2 i √( 7 )
But there is not such solution among the options.
Only correct answer ( using the imaginary unit ) is:
C. i (square root) 28
The simplified form is 2√7i.
Hence none of the provide option correct.
To simplify the square root of -28 using the imaginary unit i, we can first express -28 as a product of a positive number and -1:
The square root of -28 is equal to the square root of 28 times the square root of -1, which simplifies to 2 times the square root of 7 times i So, the simplified expression is:
2√7i.
The correct answer is not among the options provided.
The simplified form is 2√7i.
For similar question on simplified form.
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2. SAS
3. ASA
4. AAS
Answers
Answer:
Option (2) is correct.
Based on the drawing, SAS can be used to prove PQR ≅ STV
Step-by-step explanation:
We have to find the criterion by which the two given triangle can be prove similar from the given options.
Consider, the given triangles from the drawing given
ΔPQR and ΔSTV,
PR = VS (Given)
∠QRP = ∠TVS ( Given)
and, QR = TV (given)
Thus, PQR ≅ STV ( SAS CRITERION)
For SAS criterion , we need to show that two sides and the angle between those sides are equal .
Thus, option (2) is correct.
Answer:
SAS
Step-by-step explanation:
GIVEN: PR ≅ SV (side)
GIVEN: ∠R ≅ ∠V (angle)
GIVEN: QR ≅ TV (side)
Probability of spinning 1 is 0.6
Probability of spinning 2 is the same as 3.
What is the probability of spinning a number 3?
Answers
P(1)+P(2)+P(3)+P(4)=0.6+2P(2)+0.1=1
==>2P(2)=1-0.6-0.1
==>2P(2)=0.3
P(2)=P(3)=0.15
Answers
Answer:
The value of x is 13.5 units.
Step-by-step explanation:
You can also apply this formula :
So for this question :