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Answer:
Answer : False.
Step-by-step explanation:
Hey there!
The equations of line a and line b are:
line a : y= 5x-6...........(i)
line b : x+5y= 5..........(ii)
Firstly find the slope of both equation.
To find slope of first equation;
y= 5x-6
Comparing the equation with y= mx+c. We get;
Slope (m1) = 5.
Now,
To find slope of second equation;
Slope (m2) = (-coefficient of x)/(coefficient of y)
Slope (m2) = (-1/5)
Therefore, the slope of second equation is -1/5.
As per the condition of parallel lines, slope of 1st equation should be equal to 2nd equation.
Now, comparing their slopes;
5≠(-1/5)
Therefore, the answer is "False".
Hope it helps....
Line A
Compare to slope intercept form
LineB
Slope
As slopes are negative reciprocal to each other lines are perpendicular to sach other not parallel
Hence it's False