Write an equation of the line through (-6,-1) having slope of (17)/(14) Give the answer in standard form.

Question

Write an equation of the line through (-6,-1) having slope of


`(17)/(14)`
Give the answer in standard form.

Answer 1

Use the point-slope form: y-k = m(x-h).

Here, y-[-1]) = (17/14)(x+6), or y+2 = (17/14)(x+6). This could, of course, be solved for y if you wish. Mult. both sides by 14, we get 14y+28=17(x+6).

This becomes 17x + 102 - 14y - 28 = 0, or 17x -14y + 74 = 0 (which is standard form). You could also write 17x - 14y = -74.