Answer:
y = 2x/3 + 10 ; C
Step-by-step explanation:
To write the equation of a straight line, we have the general form as;
y = mx + b
where m is the slope and b is the y intercept
Mathematically from the equation given, the slope value is 2/3
When two lines are parallel to each other , the value of their slopes are the same
What this mean is that the value of the slope of the second line is 2/3
So we have the second line as;
y = 2x/3 + b
To get the value of b, we use the given point where the line passes through
The given point according to the question is the point (6,14)
so using this coordinates, we have
14 = 2/3(6) + b
14 = 4 + b
b = 14-4
b = 10
So the equation of the new line is;
y= 2/3x + 10
add 0+1+2+3+4 = 10
divide 10÷5 = 2
add 15+8+3+3+1 = 30
divide 30÷5 = 6
the ratio is 2:6 which simplifies to 1:3 by the means of lates per student. In other words there is one late per 3 students.
<h2>
Answer: 1</h2>
Step-by-step explanation:
Just plug in -2 anywhere you see an <u>a</u>
Answer:
<1=105 and <2=75.
Step-by-step explanation:
<1+<2=180, and 75+<1=180, so 180-75=105=<1. 105+<2=180, so 180-105=75=<2.
The slope of the perpendicular line is the negative reciprocal of that of the given line, so is
-1/(3/5) = -5/3
Then the point-slope equation of the perpendicular line can be written as
y = (-5/3)(x -15) -5
y = (-5/3)x +20
The y-intercept of the perpendicular line is y=20.
