Answer: y = - 6x + 2
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line is
4y + 24x = 32
Rearranging it so that it will take the slope intercept form, it becomes
4y = - 24x + 32
Dividing through by 4, it becomes
y = - 6x + 8
Comparing with the slope intercept form, slope = - 6
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (1,-4) is - 6
To determine the intercept, we would substitute m = - 6, x = 1 and y = -4 into y = mx + c. It becomes
- 4 = - 6 × 1 + c = - 6 + c
c = - 4 + 6 = 2
The equation becomes
y = - 6x + 2
Answer:
-2
Step-by-step explanation:
3.3÷(0.8−3)−0.5
First think of PEMDAS
So first do parenthese
(0.8-3)=-2.2
3.3÷-2.2-0.5
Now do division
3.3/-2.2=-1.5
and now subtraction
-1.5-0.5=-2
A. X is a variable, not a number on the coordinate plane.
Answer:
What is this question asking
Step-by-step explanation:
----------------------------------------------------
Define the numbers
----------------------------------------------------
Let the first even number be x
1st even number = x
2nd even number = x + 2
3rd even number = x + 4
----------------------------------------------------
Form the equation and solve
----------------------------------------------------
x + x + 2 + x + 4 = -6
3x + 6 = -6
3x = - 12
x = -4
----------------------------------------------------
Find the numbers
----------------------------------------------------
1st even number = x = -4
2nd even number = x + 2 = -4 + 2 = -2
3rd even number = x + 4 = -4 + 4 = 0
----------------------------------------------------
Answers: The numbers are -4, -2 and 0
----------------------------------------------------