Put the other line in point slope form...(solve for y :D )
3y=15x+9
y=5x+3, so this line has a slope of 5
For a line to be perpendicular to another the slopes have to be negative reciprocals of each other...mathematically...
s1*s2=-1
So for the other line to be perpendicular to the first:
5m=-1, m=-1/5, thus our other line (so far) is:
y=b-x/5, now we can use the point (-8,-1) to solve for the y-intercept, "b":
-1=b-(-8)/5
-1=b+8/5
-1=b+1.6
b=-2.6
So the perpendicular line that contains the point (-8,-1) is:
y=-0.2x-2.6
5*4^2-3*4*5=80-60=20
Hope that helps you
Answer:

Step-by-step explanation:
We are given the following in the question:
A(1, 1), B(2, 4), C(4, 2)
i) Slope of AB

Thus, slope of AB is 3.
ii) Point slope form
The point slope form of a line can be written as:

The point intercept form of line can be written as:

The line is parallel to AB and contains point C(4, 2). Since line p is parallel to AB, line p will have the same slope as line AB
Putting values, we get,

which is the required slope intercept equation of line p.
By changing the number into a decimal, and then moving the decimal twice to the right.
Answer:
Probability = 2/7
Step-by-step explanation:
AS the Venn diagram is not given in the question, the question is incomplete. I've attached the Venn diagram of this question below for a better understanding of the question and its solution.
In the Venn diagram we can see that
Costumers who like Cake = 10
Costumers who like Pie = 8
Costumers who like both = 4
So it means that
Total costumers who like Cake = 10 + 4 = 14
Total costumers who like Pie = 8 + 4 = 12
We have to find probabilty that a costumer who likes cakes also likes pie
So
Total costumers who like cake = 14
Costumers out of 14 who also like pie = 4
Probability = (No. of costumers who also like pie) / (Total costumers who like cake)
Probability = 4/14 = 2/7