How do you write the equation of the line with slope 2 and passes through (-2,-5)?

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Answer 1 · 2016-06-10T12:28:16

#y = 2x + 5#

Method 1

Substitute m, x and y into #y = mx + c#
You can solve for c:

#-5 = (2)(-2) + c " "rArr -5 = -4 +c#
#c = -1#
Equation: #y = 2x - 1#

Or use the formula when slope and one point are given:
#y - y_1 = m(x - x_1)#

#y - (-5) = 2(x - (-2))#
#" "y + 5 = 2(x + 2)#

#y = 2x + 10 - 5#
#y = 2x + 5#