The perpendicular equation would include a slope that is the opposite reciprocal of the original slope.
Steps:
1. Get x to the other side in the original equation. This making the slope -4 or -4/1.
2. Turn the slope into it’s opposite reciprocal m = 1/4.
3. If you use point-slope form, y - y1 = m( x - x1 ), you can substitute y1 and x1 with the numbers in the point given. But since we previously found the opposite reciprocal, we will replace “m” as well. *By the way, the subtraction of a negative makes a positive. [y + 3 = 1/4( x + 4 )]
4. Solve:
A: Distribute (y + 3 = 1/4x + 1)
B: Subtract 3 from both sides (y = 1/4x -2)
Perpendicular Equation: y = 1/4x - 2
Answer:
vertex = (- 1, 3 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
= - 
y = 2x² + 4x + 5 ← is in standard form
with a = 2, b = 4, then
= - 
= - 1
Substitute x = - 1 into the equation for corresponding value of y, that is
y = 2(- 1)² + 4(- 1) + 5 = 2 - 4 + 5 = 3
vertex = (- 1, 3 )
Answer:
A) 
Step-by-step explanation:
I should be A hope this helps
