Answer with explanation:
The equation of any line with slope 'm' and passing through any point 
is given by
As we know that the general equation of a line with slope 'm' is 
Comparing with the given equation 
we can conclude slope of the given line is 
Now we know that the product of slopes of perpendicular lines is -1
Mathematically we can write for perpendicular lines
Thus the slope of the required line is obtained from the above relation since it is given that they are perpendicular
Hence using the given and the obtained values the equation of the required line is
Part b)
The angle of intersection between 2 lines with slopes 
is given by
Comparing the equations of given lines
with the standard equation we get
Thus the angle of intersection becomes
Answer:
odd
Step-by-step explanation:
because the three is in there, no matter what the answer is it will be odd
You need 3 points to graph a quadratic function.
It is advisable that one of these points be the vertex, because the line of symmetry passes through it
Next, you need to find two other points that lie on the curve, replacing an x-value into the function and calculating the y-value. It is easier if these two points are at the same distance from the line of symmetry.
For example, if the quadratic function is y = (x - 4)² + 3, the vertex is located at (4, 3). Replacing with x = 3 into the equation, we get:
y = (3 - 4)² + 3
y = 1 + 3
y = 4
Replacing with x = 5 into the equation, we get:
y = (5 - 4)² + 3
y = 1 + 3
y = 4
Now, we need to connect the points (3, 4), (4, 3), and (5, 4) with a U shape, as follows:
6(x+2)
you just factor 6 from the expression
hope this helps
