The slope is change in "Y" divided by the change in "x"
1-(-3)/2-(-1)
= 4/3
Standard Form
y-y1=m(x-x1)
y-(-3)=4/3(x-(-1)
y+3=4/3x+4/3
y=4/3x-5/3
Rewrite in standard form
-4/3x+y=-5/3
Can't have fractions so multiply by 3 to get rid of the denominator
-4x+3y=5
Divide by -1 to get rid of the negative sign
4x-3y=-5
Answer:
1.5
Step-by-step explanation:
Attached to this answer is the diagram of the box plot described in the question, and the means from the plot are calculated thus;
Students; no. of siblings
student 0 2
student 1 4
student 2 7
student 3 5
student 4 2
Total 20
Mean no. of siblings = (total number of siblings) ÷ (total number of students)
Note that number of students here are the once that had at least one sibling, others without siblings are not used in the calculation, hence 5 students (student-0 to student-4) make up total number of students, while the remaining 4 students (student-4 to student-9) are disregarded.
Therefore, mean = 20 ÷ 5 = 4 siblings.
Answer:
<em>I dont know</em>
Step-by-step explanation:
Answer:
The father is 35years old and the son Tom is 15years old
Step-by-step explanation:
Let the father's be y
Let Tom's age be T
5 years ago:
The father's age is: y — 5
Tom's age:
T— 5.
But Tom's age was one third the father's age. This is written as:
T — 5 = 1/3(y — 5)
3(T — 5) = y — 5
3T — 15 = y — 5
3T — y = — 5 + 15
3T — y = 10 (1)
In 5years time:
The father's age is:
y + 5
Tom's age:
T + 5
But in 5years time, Tom will be half as old as his father. This is written as:
T + 5 = 1/2(y + 5)
2(T + 5) = y + 5
2T + 10 = y + 5
2T — y = 5 — 10
2T — y = — 5 (2)
Therefore, the equations are
3T — y = 10 (1)
2T — y = — 5. (2)
Solving by elimination method:
Subtract equation (2) from (1)
3T — y = 10
— (2T — y = — 5)
T = 15
Substituting the value of T into equation (1)
3T — y = 10
3(15) — y = 10
45 — y = 10
45 — 10 = y
y = 35
Therefore,
The father is 35years old and the son Tom is 15years old
