Answer:
Lines 2 and 4 are perpendicular
Step-by-step explanation:
Line 2: 4y=3x-4
y=3/4x - 1
Line 4: 4x+3y=-6
3y=-6-4x
y=-2 - 4/3x
The two lines are perpendicular since -4/3= - (inverse of 3/4)
An easy way to answer this problem is to find the mid-point between the two given points, namely ( (4-2)/2, (1-11)/2 )=(1,-5).
Another way is to find a line through the two points, and select any point on the line.
Slope = (1-(-11))/(4-(-2))=12/6=2
Then use the point slope form to find the line:
y-1=2(x-4) which can be simplified to
y=2x-7
Put x=0, y=-7 => (0,-7)
Put x=1, y=-5 => (1, -5) [ as above ]
Put x=2, y=-3 => (2, -3)
....
Answer:
Solution given:
we have
y=5x-1
equating equation with y=mx+c
we get
slope [m]=5
we have
for parallel
slope are equal
So
<u>the</u><u> </u><u>required</u><u> </u><u>slope</u><u> </u><u>is</u><u> </u><u>5</u><u>.</u>