Given the points (0, -1) and (6, 1), we need the following information to solve for the equation of the line:
We need the slope and the y-intercept.
Let (x1, y1) = (0, -1)
(x2, y2) = (6, 1)
Substitute these values into the following slope formula:
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{1 - (-1)}{6 - 0} = \frac{1 + 1}{6} = \frac{2}{6} = \frac{1}{3}[/tex]
Therefore, the slope (m) = 1/3.
Next, we need the y-intercept, (b), which is the point on the graph where it crosses the y-axis. It is also the value of the y-coordinate when its corresponding x-coordinate = 0.
Looking at one of the given points, (0, -1), this represents the y-intercept. Therefore, the y-intercept (b) = -1.
Now that we have our slope, m = 1/3, and y-intercept, b = -1, we can write our linear equation in slope-intercept form as:
y = 1/3x - 1
Please mark my answers as the Brainliest if you find this explanation helpful :)
