How do you write the point slope form of the equation given (-8,2) and m=-3/4?

1 Answer
Aug 18, 2016

#y-2=-3/4(x+8)#

Explanation:

The equation of a line in #color(blue)"point-slope form"# 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=-3/4" and " (x_1,y_1)=(-8,2)#

substitute these values into the equation.

#y-2=-3/4(x+8)" equation in point-slope form"#

It is usual.however, to distribute and collect like terms.

#rArry-2=-3/4x-6#

#rArry=-3/4x-4" in slope-intercept form"#