Answer:
parallel : y = -4x + 4
perpendicular : y = 1/4x + 4
Step-by-step explanation:
y= 4-4x is
y = -4x + 4 (rewritten)
parallel line will have the same slope
so
y = -4x + 4
perpendicular is a negative reciprocal
so
-4x become 1/4x
so
y = 1/4x + 4
Answer:
Option C) y = -2x - 6
Step-by-step explanation:
<u><em>The correct question is</em></u>
In the xy coordinate plane the slope of line p is 1/2 and its x-intercept is -3. Find the equation of a line that is perpendicular to p and intersects p at is x-intercept.
step 1
Find the slope of a line that is perpendicular to p
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of the slopes is equal to -1)

we have
----> slope of line p
substitute

----> slope of the line perpendicular to p
step 2
Find the equation of the line that is perpendicular to p and intersects p at is x-intercept
we have


Find the equation of the line in point slope form

substitute


The answer is 15 because ( a = the square root of c^2 - b^2 )
Hope this helps
1 1/3 = 4/3... 4/3 ÷2 —> 4/3 x 1/2= 2/3
4 2/3 = 14/3... 14/3 - 2/3 = 12/3= 4