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)#