Answer:
Step-by-step explanation:
Given:
Given point P(6, 6)
The equation of the line.
We need to find the equation of the line perpendicular to the given line that contains P
Solution:
The equation of the line.
Now, we compare the given equation by standard form
So, slope of the line , and
y-intercept
We know that the slope of the perpendicular line
So, the slope of the perpendicular line
From the above statement, line passes through the point P(6, 6).
Using slope intercept formula to know y-intercept.
Substitute point and
So, the y-intercept of the perpendicular line
Using point slope formula.
Substitute and in above equation.
Therefore: the equation of the perpendicular line
Answer:
the answer is in the picture below
Step-by-step explanation:
Answer:
The vertex or top is ( 2, -9)
Step-by-step explanation:
Given y = (x - 5 ) * ( x + 1 )
x² - 4x - 5
See attachment.
The vertex of the parabola is the Top.
The vertex of a parabola is the point where the parabola crosses its axis of symmetry.
If the coefficient of the x² term is positive, the vertex will be the lowest point on the graph, the point at the bottom of the “ U ”-shape. If the coefficient of the x² term is negative, the vertex will be the highest point on the graph, the point at the top of the “ U ”-shape.
The standard equation of a parabola is it
y = ax² + bx + c.
But the equation for a parabola can also be written in "vertex form": y = a(x−h)² + k
In this equation, the vertex of the parabola is the point (h,k) = (2, -9)
Here is the answer with an explanation!