First let's find the slope.
slope = \(\frac{\text{difference of y values}}{\text{difference of x values}}=\frac{-6--6}{-7-3}=\frac{0}{-10}=0\)
So, in point-slope form, using the point (-7, -6) , the equation is....
y - -6 = 0(x - -7)
y + 6 = 0
y = -6
And..we could have noticed from the beginning that the y value of both points is -6 . That means it must be a horizontal line at y = -6 .
First let's find the slope.
slope = \(\frac{\text{difference of y values}}{\text{difference of x values}}=\frac{-6--6}{-7-3}=\frac{0}{-10}=0\)
So, in point-slope form, using the point (-7, -6) , the equation is....
y - -6 = 0(x - -7)
y + 6 = 0
y = -6
And..we could have noticed from the beginning that the y value of both points is -6 . That means it must be a horizontal line at y = -6 .