A line passes through the points (-6,-3) and (-4,-3) write its equation in slope intercept form

To find the equation of the line in slope-intercept form (y = mx + b), we first need to find the slope (m) of the line.

The formula for slope (m) is given by:

m = (y2 - y1) / (x2 - x1)

Using the coordinates (-6, -3) and (-4, -3), we can substitute these values into the equation:

m = (-3 - (-3)) / (-4 - (-6))

Simplifying,

m = (-3 + 3) / (-4 + 6)
= 0 / 2
= 0

Since the slope is 0, the equation of the line will be in the form: y = b.

To find the value of b, we can substitute one of the points into the equation:

y = b
-3 = b

Therefore, the equation of the line in slope-intercept form is:

y = -3