Which line is parallel to y=3/4x+10
1 answer:
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Step-by-step explanation:
answer is in photo above
The slope of JK is -6/5.
The slope of PQ is 12/ 15.
These lines are neither parallel nor perpendicular.
<u>Step-by-step explanation:</u>
From the graph shown,
It can be determined that the point J is (0,5) and K is (10,-7).
The point P is (-5,-8) and Q is (10,4).
The formula for slope is given by,
Slope =
<u>To find the slope of line JK :</u>
J ⇒ (0,5) = (x1,y1)
K ⇒ (10,-7) = (x2,y2)
Slope of JK =
⇒
⇒
∴ The slope of JK is -6/5.
<u>To find the slope of line PQ :</u>
P ⇒ (-5,-8) = (x1,y1)
Q ⇒ (10,4) = (x2,y2)
Slope of PQ =
⇒
∴ The slope of PQ is 12/ 15.
<u>To find the relation between two lines :</u>
- The parallel lines have same slope.
- The perpendicular lines have a slope of negative reciprocal.
∴ These lines are neither parallel nor perpendicular.