How do you write an equation of a line given point (1,-5) and slope -3/2?

1 Answer
Jim G.
Sep 4, 2016

#y=-3/2x-7/2#

Explanation:

We can begin by writing the equation in #color(blue)"point-slope form"#

That is #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=-3/2" and " (x_1,y_1)=(1,-5)#

substitute these values into the equation.

#y-(-5)=-3/2(x-1)#

distribute the bracket and collect like terms

#y+5=-3/2x+3/2rArry=-3/2x-7/2" is the equation"#

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