We need to find the line perp. to x = 0 and pass through the point ( 4 , - 4)
so,
The line x = 0 is actually is the y-axis
so, the perpendicular line to y-axis is x-axis
The slope of the x-axis is = 0
And the required line will be parallel to x-axis and pass through the point (4 , -4)
Which mean y-intercept = -4
We should know the general slope-intercept form is y = mx + c
where m is the slope and c is the y -inercept
So, we have calculated the slope and y - intercept
slope = m = 0
y-intercept = c = -4
so,
The equation of the line is y = 0 * x - 4
so,
y = -4