Question

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Answer 1

Explanation:

simplify the three equations to get the common (Y) and we get the following:

1.
`Y = (-5)/(2)x + (1)/(2)\\`

2.
`Y = (2)/(5)x - 8`

3.
`Y = (2)/(5)x + (4)/(5)`

Line 1 and 2 are perpendicular because for the gradient(m) the fraction in line 1 for x is the negative reciprocal to line 2.

Line 1 and 3 are also perpendicular because for the gradient(m) the negative reciprocal can also be seen

*note for perpendicular lines the +c or y-intercept is neglected as it does not affect the perpendicularity

Line 2 and Line 3 are parallel because they have the same gradient of
`(2)/(5)x`

So they will have the same slope, regardless of the y-intercept.