Answer:
Perpendicular
Step-by-step explanation:
Here, we want to know the relationship between the two lines .
The easiest way to go about this is to get their slopes;
Mathematically, the equation of a straight line can be expressed in the form;
y = mx + c
where m is the slope;
Hence;
2x -5y = 10
Isolating the y part
5y = 2x -10
divide through by 5
y = 2/5x - 2
So the slope here is 2/5
for the second line
10x + 4y = 20
Divide by 2 all through
5x + 2y = 10
Isolate y
2y = 10-5x
Divide by 2 again
y = 5 -5/2x
The slope here is -5/2
What do we notice? we can see that if we multiply the two slopes by each other, we get -1
That is;
2/5 * -5/2 = -1
What this means is that both lines are perpendicular.
This is because the slopes of perpendicular lines, when multiplied by each other = -1
