Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m represents the slope of the line
c represents the y intercept
The equation of the given line is
2x + 4y = 20
4y = - 2x + 20
Dividing through by 4, it becomes
y = - x/2 + 5
Comparing with the slope intercept form, slope = - 1/2
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 6, 3) is - 1/2
To determine the y intercept, we would substitute m = - 1/2, x = - 6 and y = 3 into y = mx + c. It becomes
3 = - 1/2 × - 6 + c
3 = 3 + c
c = 3 - 3 = 0
The equation becomes
y = - x/2
Answer:
314.961
Step-by-step explanation:
Answer:
4x^2 +3x -7
Step-by-step explanation:
(4x^2 – 2x) + (5x - 7)
Combine like terms
4x^2 -2x+5x -7
4x^2 +3x -7
4(p - 7) = 44
First distribute the 4 over the parentheses
4p - 28 = 44
Add 28 to both sides:-
4p = 44 + 28
4p = 72
Divide both sides by 4:-
p = 72/4
p = 18 (answer)
