Need help on this question asap pleasee
1 answer:
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Answer:
The equation must include -8 as the slope
Step-by-step explanation:
Hi there!
Two key points to keep in mind:
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when x is 0).
- Parallel lines always have equal slopes
Given the equation y=-8x+6, we can identify that -8 is in the place of m in y=mx+b, making it the slope.
For a line to be parallel to y=-8x+6, it would have to have a slope of -8 as well. This is the only quality a line needs to be parallel to this given line.
I hope this helps!
From given picture we can see that X is mid point of line PQ
So PQ=2PX
From given picture we can see that Y is mid point of line PR
So PR=2PY
Now consider triangles PRQ and PYX
Sides PQ and PX has same ratio as of sides PR and PY (as calculated above)
angle XPY= angle QPR (common angle)
Hence triangles PRQ and PYX are similar.
We know that ratio of the sides of similar triangles is always equal so we can write:
Plug the given values QR=8 and PQ=2PX
Hence final answer is XY = 4 units.