How do you write an equation in standard form given (-6, -7) m= -1?

1 Answer
Jim G.
Jul 31, 2016

y = -x - 13

Explanation:

Since this question gives us a point (-6 ,-7) and slope, m= -1 , to obtain the equation use the #color(blue)"point-slope form of the equation"#

#color(red)(|bar(ul(color(white)(a/a)color(black)(y-y_1=m(x-x_1))color(white)(a/a)|)))#
where m represents the slope and #(x_1,y_1)" a point on the line"#

here m = -1 and #(x_1,y_!)=(-6,-7)#

substitute these values into the equation

#y-(-7)=-1(x-(-6))#

#rArry+7=-(x+6)rArry+7=-x-6#

#rArry=-x-13" is the equation"#

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