Find an equation of the line that passes through the given points. (let x be the independent variable and y be the dependent variable.) (3, 1) and (4, 4)
Answers
The 2-point form of the equation for a line can be used.
... y = (y₂-y₁)/(x₂-x₁)·(x -x₁) +y₁
Filling in the given information, you have
... y = (4-1)/(4-3)·(x-3) +1 . . . . an equation for the line
... y = 3x -8 . . . . . . . . . . . . . . simplified to slope-intercept form
... 3x -y = 8 . . . . . . . . . . . . . .. rearranged to standard form
Final answer:
The equation of the line passing through given points (3, 1) and (4, 4) can be found by calculating the slope and the y-intercept of the line. First, we find the slope (m) is 3. Then, by substituting the slope and one point into the formula y = mx + b, we find the y-intercept is -8. Thus, the equation of the line is y = 3x - 8.
Explanation:
To find the equation of a line passing through two points, we need to find the slope (m) first. The formula for calculating the slope is m = (y2 - y1) / (x2 - x1). Taking the given points (3, 1) and (4, 4), we can substitute into our formula and get m = (4 - 1) / (4 - 3) = 3 / 1 = 3.
Once we have the slope, the next step is finding the y-intercept (b) using the equation of a line, y = mx + b. Replacing m, x, and y with known values from any point, let's use (3, 1), we get 1 = 3*3 + b, that simplifies to b = -8.
So the equation of the line that passes through the points (3, 1) and (4, 4) is: y = 3x - 8.
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When are the expressions 5(p + 4) and 5p + 20 equivalent?
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Which equation represents the solution of the linear equation - 4x + 5 = 9? A. x = 4 B. x = 1 C. x = -1 D. x = -4
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Answers
The total number of distance the word fastest insect in 15 minutes would fly is 9 miles
How to determine the number distance it would fly
from the question, we have the following parameters that can be used in our computation:
Speed = 36 miles per hour
Time = 15 minutes = 1/4 hour
The distance it would fly is calculated as
Distance = Speed * Time
Substitute the known values in the above equation, so, we have the following representation
Distance = 36 miles per hour * 1/4 hour
Evaluate
Distance = 9 miles
Hence, the number of distance it would fly is 9 miles
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Step explanation: 36x15=540, after that just break down your 60x. then, divide 60 ÷ 540, which it gives you equal 9x.
Answers
Simplify the expression.
−197+8A, Hope this helps, Have a wonderful day!~
4(x+3)(x+1)/(x+5)(x-5) x=3
Answers
The value of the given expression will be equal to -3.
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The solution to the expression is:-
= 4( x + 3 ) ( x + 1 ) / ( x + 5 ) ( x - 5 )
= 4( 3 + 3 ) ( 3 + 1 ) / ( 3 + 5 ) ( 3 - 5 )
= ( 4 x 6 x 4 ) / ( 8 x -2 )
= -3
Therefore the value of the given expression will be equal to -3.
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Answers
Answer:
The 3rd choice
Answer: the third one
Step-by-step explanation:
to get from 6 to 3 u divide by 2 and same thing goes for 10 to 5 and 14 to 7
hope this help! :)
Answers
Answer:
x = 5°
Step-by-step explanation:
We know that in a triangle, the measure of an exterior angle is equal to the sum of its two remote interior angles, therefore:
7x + 4 + 61 = 20x
7x + 65 = 20x
13x = 65
x = 5°
Answer:
Solution given:
61°+(7x+4)°=20x [ exterior angle is equal to the sum of two opposite interior angle]
65+7x=20x
65=20x-7x
13x=65°
x==5°
value of x=5°
units.
Answers
Answer: down 6 units
Step-by-step explanation:
Edge 20
Answer:
Down 6 Units
Step-by-step explanation: