Question

Which equation represents a side that is perpendicular to side d?

A:y=2x+5
B:y=-2x+5
C: y=1/2x-5/2
D: y=-1/2x-7/2

Answer 1

i think the correct answer is c hope this helps

Answer 2

Option B. y=-2x+5

Explanation:

Thinking process:

The side perpendicular to line
`d` is either
`c` or
`a`.

Taking the line a as our choice line, the gradient of a straight line is given by the equation:

`m = (y_(2)-y_(1) )/(x_(2)-x_(1) )`

where, m = gradient

y₂ = 5 ; y₁ = -1

x₂ = 0; x₁ = 3

Therefore, gradient =
`(5-(-1))/((0-(3))`

= -2

The equation of a straight line is given by the y = mx + c

where m is gradient,

c is y-intercept

taking the point (0 , 5) this gives
`(y-5)/(x-0) = -2\\y = -2x+5`

Hence option B