The answer is
for parallel : x-4=0
for perpendicular: y+4=0
What is slope- intercept equations?
The slope-intercept form is written as y = mx+b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis). It's usually easy to graph a line using y=mx+b.
Given line: x=-7
The slope of line x=7 is infinite
The equation of line passing through point (4,-4) and having slope infinite is
0.y+x=-7
So, 0.y= 4
hence, x=4
slope intercept form
x-4=0
Now, for perpendicular lines:
swap the coefficients on x and y with negative sign of x in x=-7
This is a vertical line, so the perpendicular line will be a horizontal line of the form y=b.
Since we are given that the line should pass through the point (4,−4), then the equation of the line is y=−4.
Learn more about intercept equation here:
brainly.com/question/13300036
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