Answer: y = -2x - 5
Step-by-step explanation:
The condition for parallelism is that m1 = m2 ie, the gradient of the two lines must be equal.
from the equation given,
y = -2x + 8, m1 = -2, therefore m2 = -2. Since the two line passes through the coordinate of (-1, -3 ) , we substitute for x and y in the equation of a line
y = mx + c to get the value of , the y - intersect.
-3 = -2 x -1 + c
-3 = 2 + c
solve for c
c = -3 - 2
c = -5.
now , to have the equation of the line , we put c = -7 into the equation
y = mx + c
y = -2x - 5
Therefore the equation of the line parallel to the line
y = -2x + 8 is
y = -2x - 7
Answer:
The answer is B
Step-by-step explanation:
The answer would be 73 remainder 0 if rounded to one decimal place
Answer:
x= 4 y= 7 z= -6
Step-by-step explanation:
solve for one and you get them all
First, I got rid of the z by multiplying common factors (multiplied z by 2) and added equations 2 and 3 together after multiplying by 2
4x - 3y - 2z = 7
-10x+10y+2z= 18
-6x+7y= 25
Then multiplied z by -3 (to get rid of the z) with the original equation 3
3x - 2y + 3z = -20
15x-15y-3z= -27
18x-17y= -47
Next find common thing between the 2 equations we got and multiply it by that and combine (we can multiply first equation by 3 to get rid of the x and solve for y)
-18x+21y= 75
18x-17y= -47
y=7
Work backwards, substitute 7 into the above equation, you get x= 4 and then same for z to get z= -6
The answer would be choice C.
Perpendicular lines cross each other and form a right angle as you can see marked in the third picture.
