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tankabanditka [31]
3 years ago
14

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

Mathematics
1 answer:
navik [9.2K]3 years ago
3 0

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}

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

<u />

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

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

<em>*The graph of this line is attached here below.</em>

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