Question

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

c
a line that contains point (0, −3) and perpendicular to another line whose slope is 2.

Answer 1

Graph attached.

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) =
`-(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 =
`(y - -3)/(x - 0) = -(1)/(2)`

y =
`-(1)/(2) x` - 3

*The graph of this line is attached here below.