The equation of the line containing the given pair of points (4.6 , -8) and (6.6 , 2.2) is y = 5.1 x - 31.46
Step-by-step explanation:
The equation of a line is y = m x + b, where
- m is the slope of the line, , where and are 2 points lie on the line
- b is the y-intercept, to get it substitute x and y in the equation by the coordinates of one of the 2 given points
∵ The line contains the points (4.6 , -8) and (6.6 , 2.2)
∴ = 4.6 and = 6.6
∴ = -8 and = 2.2
∵
- Substitute the values above in the rule of m
∴
∴ The slope of the line is 5.1
∵ The equation of a line is y = m x + b
Substitute m by 5.1
∴ y = 5.1 x + b
To find b substitute x and y by the coordinates of point (4.6 , -8) OR point (6.6 , 2.2)
∵ x = 6.6 and y = 2.2
∴ 2.2 = 5.1(6.6) + b
∴ 2.2 = 33.66 + b
- Subtract 33.66 from both sides
∴ -31.46 = b
∴ y = 5.1 x + (-31.46)
∴ y = 5.1 x - 31.46
The equation of the line containing the given pair of points (4.6 , -8) and (6.6 , 2.2) is y = 5.1 x - 31.46
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Answer:
8x + 3
Step-by-step explanation:
Given
2(5x - 1) - (2x - 5)
Distribute first parenthesis by 2 and second by - 1
= 10x - 2 - 2x + 5 ← collect like terms
= 8x + 3
Answer:
see below
Step-by-step explanation:
9 is the difference of a number n and 7.
Let's break this down.
"is" represents the equal sign.
"the difference" represents subtraction.
9 = n - 7
Now let's solve the equation.
9 = n - 7
Add 7 to both sides.
16 = n
Hope this helps!