Answer:
Graph attached.
Step-by-step explanation:
- Line (i) contains point (0, -3)
- It's perpendicular to line (ii) whose slope is 2
The product of slope of line (i) and slope of line (ii) should be equal to -1 (product of slopes of two perpendicular lines = -1)
i.e
Slope of line (i) × 2 = -1
Slope of line (i) = [tex]-\frac{1}{2}[/tex]
To find the equation of line (i), we need another point (x,y) on the line.
Slope (m) = change in y ÷ change in x = [tex]\frac{y - -3}{x - 0} = -\frac{1}{2}[/tex]
y = [tex]-\frac{1}{2} x[/tex] - 3
*The graph of this line is attached here below.
