9514 1404 393
Answer:
- parallel: 5
- perpendicular: -1/5
Step-by-step explanation:
The equation of the given line is written in "slope-intercept form":
y = mx + b . . . . . . where m is the slope
Matching this form to the equation you have, you see that ...
m = 5 . . . the slope of your given line.
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A parallel line will have the same slope: 5.
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A perpendicular line will have a slope that is the opposite reciprocal of this. The reciprocal of 5 is 1/5. The opposite of that is -1/5.
A perpendicular line will have a slope of -1/5.
If we multiply the bottom equation by 2 and move x to the right, it becomes:
4y = 2x-38
Now we can substitute it for the 4y in the top equation:
3x + (2x-38) = -23 => 5x = -23+38 => 5x = 15 => x=3
Then 4y = 2*3-38 => y = -8
So the solution is (3,-8)
Answer:
x= -30
Step-by-step explanation:
