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How do you write the equation of a line given (-3,1) and (-2,-3)?

1 Answer

Mar 12, 2018

The formula is #y=-4x-11#.

Explanation:

To find an equation of a linear line, you need the gradient and a point's coordinate.

The general formula for gradient is #m=(y_1-y_2)/(x_1-x_2)#,

#m=(1-(-3))/(-3-(-2))#
#color(white)(m)=-4#

The formula of a linear equation is #y-y_1=m(x-x_1)#,

#y-1=-4(x-(-3))#
#y-1=-4x-12#
#y=-4x-11#

Hence, the formula is #y=-4x-11#.

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