Answer:
The equation of the line best fit is y = x + 12
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope of the line
The rule of the slope is m = , where
- (x1, y1) and (x2, y2) are two points on the line
∵ The line passes through points (2, 14) and (10, 22)
∴ x1 = 2 and y1 = 14
∴ x2 = 10 and y2 = 22
→ Substitute them in the rule of the slope above to find it
∵ m =
∴ m = 1
→ Substitute it in the form of the equation above
∴ y = (1)x + b
∴ y = x + b
→ To find b substitute x by 2 and y by 14 in the equation
∵ 14 = 2 + b
→ Subtract 2 from both sides
∴ 14 - 2 = 2 - 2 + b
∴ 12 = b
→ Substitute it in the equation
∴ y = x + 12
∴ The equation of the line best fit is y = x + 12
Answer:
31
Step-by-step explanation:
93/3=31
So UV is equal to 31
<em>2/8 x 4/6 in simplest form is 1/6 </em>
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Answer:
The integer -37 represents the direction and the distance covered by Jose from Gainesville to Ocala.
Step-by-step explanation:
The direction is represented by the sign that accompanies the distance, since Jose is returning from Gainesville, then the direction must represented by a minus sign (-), since he is travelling southwards. The distance is the magnitude of the length covered by Jose during his return. Hence, distance is represented by the natural number 37.
Finally, the integer -37 represents the direction and the distance covered by Jose from Gainesville to Ocala.
Answer: -1
Step-by-step explanation:
3( x +7 ) =18
8Use distributive property
3x + 21 = 18
Substract 21 from both sides
3x = -3
Divide 3 by both sides
x = -1
Another way to solve:
3( x +7 ) =18
Divide 3 by both sides
x + 7 = 6
Substract 7 by both sides
x = -1