Answer:
The equation of the line is:
- y = 3x
Step-by-step explanation:
Given the table
x y
0 0
1 3
2 6
3 9
4 12
The slope-intercept form of the line equation
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.
