Which pair of triangles can be used to show that the slope of line a is the same anywhere along the line?
1 answer:
Answer:
C
Step-by-step explanation:
The pair of triangles in option C (image attached below) shows that the slope of line a is the same anywhere on the line.
Let's check it out:
Slope = rise/run
✔️For the first lower triangle:
Rise = 3.5
Run = 4.5
Slope = 3.5/4.5 ≈ 0.8
✔️For the second upper traingle:
Rise = 4
Run = 5
Slope = 4/5 = 0.8
Therefore, it shows that the slope of the line is the same anywhere along the line of the graph.
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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