The slope of the line below is -2. use the coordinates of the labeled point to find the point-slope equation of the line. (4, -6)

The point-slope equation of the line is or

Solution:

Let us assume that the slope is m and the y intercept of the line is b

Hence, --------- (i)

y intercept means we need to find the value of y when x is 0

Here the line passes through point (4,-6) and slope m = (-2)

Now putting the point (4,-6) in equation (i) we get,

So, the equation of the line will be will be or

the barter

the answer is y < -3 or   y > 3

-3y > 7 + 2

-3 y > 9

y < -3