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Answer:
The slope is
The y-intercept is 9
Step-by-step explanation:
The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where
- m is the slope of the line whose rule is
- b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)
Let us solve the question:
Choose any two-point from the table
∵ The line passes through the points (2, 12) and (4, 15)
∴ x1 = 2 and x2 = 4
∴ y1 = 12 and y2 = 15
→ Use the rule of m to find it
∵
∴ m =
∴ The slope is
→ Substitute its value in the form of the equation above
∴ y = x + b
→ To find b substitute x and y by x1 and y1
∴ 12 = (2) + b
∴ 12 = 3 + b
→ Subtract 3 from both sides
∴ 12 -3 = 3 - 3 + b
∴ 9 = b
∴ The y-intercept is 9
Answer:
2)A plane has length and width.
3)A plane extends infinitely in all directions
5)A plane is a flat surface.
Step-by-step explanation:
We can think of a plane as a line in space with no height, only length and width.
Yes, a plane is a two-dimensional surface, hence it has length and width.
2)A plane has length and width (TRUE)
The plane surface extends infinitely far, therefore it extends infinitely in all direction.
3)A plane extends infinitely in all directions (TRUE)
5)A plane is a flat surface(TRUE)
The correct options are 2,3 and 5.
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