The slope of the given line is -1/3. The perpendicular line's slope is the opposite reciprocal of the given line's slope. So, the perpendicular line's slope is 3. Then we have slope intercept form y=mx+b
y=3x+b
We don't know "b" which is the y-intercept for this equation, but we have the coordinates (6, -1). We can use these to find the slope by plugging them into the equation.
-1=3(6)+b
-1=18+b
-1-18=18+b-18
-19=b
So, the resulting y-intercept is -19.
The final perpendicular equation would be y=3x-19
Answer:
0.5 L
Step-by-step explanation:
volume of bottle: 1.5 L
amount of water = 1.5 L
volume of glass: x
3/4 full is the same as 0.75 full
vol of water in bottle + vol of water in glass = total vol of water
0.75(bottle) + 0.75(glass) = 1.5
0.75(1.5) + 0.75x = 1.5
0.75x = 0.375
x = 0.5
For a relationship to be linear, there must be a constant rate of change. To check this, you need to calculate the equation of the line.
A linear line will always have an equation in the following pattern:
y = mx + c where m is the slope and c is a constant.
This equation must be of first degree (highest power is x^1) to be linear.
Note:
the slope can be calculated using two points (x1,y1) and (x2,y2) as follows:
m = (y2 / y1) / (x2 - x2)
You can then use points from the table and substitute in the equation to calculate the value of c.
Answer: I think so
Step by step:
Answer:
Step-by-step explanation:
Explicit formula is used to represent all the terms of the geometric sequence using a single formula.
Here, a is the first term.
r is the common ratio.
r = second term ÷ first term
4, 8,16,32,64,.....
a = 4
r = 8 ÷4 = 2
