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User Bero
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Answer:

The equation of the line is:

  • y = 3x

Explanation:

Given the table

x y

0 0

1 3

2 6

3 9

4 12

The slope-intercept form of the line equation


y = mx+b

where

  • m is the slope
  • b is the y-intercept

Taking the two points from the table

  • (1, 3)
  • (2, 6)

Determining the slope between (1, 3) and (2, 6)

(x₁, y₁) = (1, 3)

(x₂, y₂) = (2, 6)

Using the formula

Slope = m = [y₂ - y₁] / [x₂ - x₁]

= [6 - 3] / [2 - 1]

= 3 / 1

= 3

Thus, the slope of the line = m = 3

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the table, it is clear

at x = 0, y = 0

Thus, the y-intercept b = 0

now substituting m = 3 and b = 0 in the slope-intercept form of the line equation

y = mx + b

y = 3x + 0

y = 3x

Therefore, the equation of the line is:

  • y = 3x

The graph of the line equation y = 3x is also attached.

Help help help help help-example-1
User Mbcrute
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