Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

What is the equation of the line with slope $m = - \frac{7}{17}$ $m= -7/17$ that passes through $(- 2, - 1)$ $(-2,-1)$ ?

1 Answer

Dec 8, 2015

$7 x + 17 y = - 31$ $7x+17y= -31$

Explanation:

Using the general slope-point form for a line with slope $m$ $m$ through the point $(ˆ x, ˆ y)$ $(hatx,haty)$
$XXX (y - ˆ y) = m (x - ˆ x)$ $color(white)("XXX")(y-haty) = m(x-hatx)$

with the given values
$XXX (y + 1) = - \frac{7}{17} (x + 2)$ $color(white)("XXX")(y+1) = -7/17(x+2)$

This could be simplified as:
$XXX 17 y + 17 = - 7 x - 14$ $color(white)("XXX")17y+17 = -7x -14$

$XXX 7 x + 17 y = - 31$ $color(white)("XXX")7x+17y=-31$
(this is "standard form" for a linear equation)

Related questions

See all questions in Write an Equation Given the Slope and a Point

Impact of this question

1457 views around the world

You can reuse this answer
Creative Commons License