Answer:
y = -x-4
Step-by-step explanation:
In this question, we want to find the equation of a line.
Generally, the equation of a starlight line goes by the firm y = mx + c where m represents the slope and c represents the y-intercept
The first equation given, can be rewritten as ;
y = x -6 + 4
y = x - 2
From here, it is clear that our slope m is equal to 1.
Now if two lines are perpendicular, the product of their slopes equals -1
what i’m saying is m1•m2 = -1
Now since we know both lines are perpendicular, then we have the slope of the second line as -1 in value
Now after getting the slope, we need to write the equation using that point that falls on where the line passes through
Using;
y = mx + c for slope -1 and point (-2,-2)
we have;
-2 = -1(-2) + c
-2 = 2 + c
c = -2-2
c = -4
Thus our final equation is where we are having m to be -1 and c = -4
y = -1(x) -4
y = -x-4
ps : different equations in the note and on the screenshot. I followed what’s in the question!
