Answer:
Option B. y=-2x+5
Step-by-step explanation:
Thinking process:
The side perpendicular to line [tex]d[/tex] is either [tex]c[/tex] or [tex]a[/tex].
Taking the line a as our choice line, the gradient of a straight line is given by the equation:
[tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
where, m = gradient
y₂ = 5 ; y₁ = -1
x₂ = 0; x₁ = 3
Therefore, gradient = [tex]\frac{5-(-1)}{(0-(3)}[/tex]
= -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 [tex]\frac{y-5}{x-0} = -2\\y = -2x+5[/tex]
Hence option B
