What is the equation of the line with slope $m= -17,13$ that passes through $(-29,17)$ ?

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Answer 1 · 2018-01-25T12:49:57

$color(green)(17x + 13y = 714)$

Assuming the slope to be $-(17/13)$

Standard form of equation, given slope and one point on the line is

$y - y1 = m (x - x1)$

Given $x1 = -29, y1 = 17 and m = -(17/13)$

$y - 17 = -(17/13) * (x - (-29))$

$13 * (y - 17) = -17 * (x + 29$

$13y - 221 = -17x + 493$

$17x + 13y = 221 + 493$

$color(green)(17x + 13y = 714)$

What is the equation of the line with slope m= -17,13 m= -17,13 that passes through (-29,17) (-29,17) ?