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I just need y intercept and equation

I just need y intercept and equation-example-1
User BVengerov
by
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1 Answer

5 votes

Answer:

  • Slope = 4
  • y-intercept = -8

Explanation:

The slope-intercept form of the line equation


y = mx+b

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.


y = mx+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
User Evalds Urtans
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