Question

Which are parametric equations for a line passing through (–2, 1) with a slope of 4?

Answer 1

Explanation:

Slope of line is 4. And the line is passing through point (1,2). We know, equation of line passing through
`(x_0,y_0)` with slope m is given by:

`\boxed{y - y_0 = m(x - x_0)}`

Substituting values of
`(x_0,y_0)` = (-2,1) and slope m = 4,

`y - 1 = 4(x - (-2))`

Opening the parentheses,

`y - 1 = 4(x + 2)`

`y - 1 = 4x + 8`

Moving all the terms to left hand side,

`y - 1 - 4x - 8 = 0`

`y - 4x - 9 = 0`

`\therefore` The equation of line is y - 4x - 9 = 0.