Answer:
1. r=anything
2. d=6
3. b=4
Step-by-step explanation:
Answer:
x = 2
y = -3
Step-by-step explanation:
2x + 2y = -2, then 2y = -2 - 2x
3x - 2y = 12, then 2y = 3x - 12
so:
-2 - 2x = 3x - 12
add 2x and 12 to each side of the equation:
5x = 10
divide both sides by 5:
x = 2
2y = 3(2) - 12
2y = -6
divide both sides by 2:
y = -3
Answer:

Step-by-step explanation:
By definition, two lines are perpendicular if and only if their slopes are negative reciprocals of each other:
, or equivalently,
.
Given our linear equation 3x + y = 3 (or y = -3x + 3):
We can find the equation of the line (with a y-intercept of 5) that is perpendicular to y = -3x + 3 by determining the negative reciprocal of its slope, -3, which is
.
To test whether this is correct, we can take first slope,
, and multiply it with the negative reciprocal slope
:


Therefore, we came up with the correct slope for the other line, which is
.
Finally, the y-intercept is given by (0, 5). Therefore, the equation of the line that is perpendicular to 3x + y = 3 is:
