The equation of a line in the slope intercept form is expressed as
y = mx + c
Where
m represents slope
c represents y intercept
The equation of the given line is expressed as
3x - 6y = 30
Rearranging it so that it will look like the slope intercept form, it becomes
6y = 3x - 30
Dividing both sides by 6, it becomes
6y/6 = 3x/6 - 30/6
y = x/2 - 5
Looking at the equation, slope, m = 1/2
If two lines are parallel, it means that they have equal slope. This means that the slope of the line parallel to the given line is 1/2
To determine the y intercept, c of the line passing through the point (4, - 9), we would substitute
x = 4, y = - 9 and m = 1/2 into the slope intercept equation. It becomes
- 9 = 1/2 * 4 + c
- 9 = 2 + c
c = - 9 - 2
c = - 11
By substtuting m = 1/2 and c = - 11 into the slope intercept equation, the equation of the line would be
y = x/2 - 11
Answer:
Step-by-step explanation:
Add 6 to both sides:
Divide both sides by -3:
Subtract 4 from both sides:
Divide both sides by 2:
This seems to look like a factoring question. When factoring, one must know that the second number is the sum of the two values multiplied by x, and the third number is what happens when one multiplies those two numbers. Using these definitions, one can conclude that the correct answer is (x-8)(x+3)
we are given
Since, we have to find inverse function
step-1:
Set y=f(x)
It is already there
step-2:
Switch x and y
step-3: Solve for y
We can take cos on both sides
we can simplify it
now, we can solve for y
..............Answer
