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Answer:
- Slope = 4
- y-intercept = -8
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the slope
- b is the y-intercept
Given the table
x y
2 0
7 20
Determining the slope between (2, 0) and (7, 20)
(x₁, y₁) = (2, 0)
(x₂, y₂) = (7, 20)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [20 - 0] / [7 - 2]
= 20 / 5
= 4
Thus, the slope of the line = m = 4
now substituting the point (2, 0) and the slope m = 4 in the slope-intercept form of a line equation to determine the y-intercept b.
0 = 4(2) + b
b + 8 = 0
subtract 8 from both sides
b + 8 - 8 = 0 - 8
b = -8
Thus, the y-intercept = -8
Summary:
- Slope = 4
- y-intercept = -8