Question

Graph the line using a point and a slope. Write the equation of each line.

Answer 1

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) = $-\frac{1}{2}$

To find the equation of line (i), we need another point (x,y) on the line.

Slope (m) = change in y ÷ change in x = $\frac{y - -3}{x - 0} = -\frac{1}{2}$

y = $-\frac{1}{2} x$ - 3

*The graph of this line is attached here below.