Answer:
The point (0, 1) represents the y-intercept.
Hence, the y-intercept (0, 1) is on the same line.
Step-by-step explanation:
We know that the slope-intercept form of the line equation
y = mx+b
where
- m is the slope
- b is the y-intercept
Given
- The point (-6, -3)
- The slope m = 2/3
Using the point-slope form
where
- m is the slope of the line
- (x₁, y₁) is the point
In our case:
- m = 2/3
- (x₁, y₁) = (-6, -3)
substituting the values m = 2/3 and the point (-6, -3) in the point-slope form
Subtract 3 from both sides
comparing with the slope-intercept form y=mx+b
Here the slope = m = 2/3
Y-intercept b = 1
We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
Given the line
at x = 0, y = 1
Thus, the point (0, 1) represents the y-intercept.
Hence, the y-intercept (0, 1) is on the same line.
