Answer:
y = x - 6
Step-by-step explanation:
We want to write a line in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
First, we need to find the slope, which is just the change in the y-coordinates divided by the change in the x-coordinates:
slope = m = [tex]\frac{6-(-1)}{0-(-7)} =\frac{7}{7}=1[/tex]
Our equation now looks like this: y = x + b
Now, to find the y-intercept, let's use one of the points provided and plug those values of x and y into the incomplete equation we have to solve for b:
0 = 6 + b ⇒ b = -6
So, the equation is: y = x - 6.
Hope this helps!
