Answer:
y = (1/7)x - (1/7)
Step-by-step explanation:
To find the equation of the line in slope-intercept form (y = mx + b), we need to find the slope (m) and the y-intercept (b).
First, let's find the slope (m) using the formula:
[tex] \sf \rightarrow m = \frac{( y_{2} - y_{1} )}{(x_{2} -x_{1})}[/tex]
where ([tex] \sf x_1, y_1[/tex]) = (-6, -1) and ([tex] \sf x_2, y_2[/tex]) = (8, 1)
m = (1 - (-1)) / (8 - (-6))
m = 2 / 14
m = 1/7
Now that we have the slope, we can use either point to find the y-intercept (b). Let's use the point (8, 1):
1 = (1/7)(8) + b
1 = 8/7 + b
b = 1 - 8/7
b = (-1/7)
Now we have the slope (m = 1/7) and the y-intercept (b = -1/7), so we can write the equation in slope-intercept form:
y = mx + b
y = (1/7)x - (1/7)
