Question

Write the point-slope form of the equation of the line that passes through the origin and has a slope of 2. Include your work in the final answer.

Answer 1

y = 2x

Explanation:

let the equation be y = mx + c

given slope = 2

so, m = 2

so equation, y = 2x + c

now the line passes through origin (0,0)

now, putting the value, we get,

0 = (2 × 0) +c

c = 0

so the final equation,

y = 2x + 0

⇒y = 2x