How do you write an equation for these points (4,-2); m=1/4?

1 Answer
Jim G.
Nov 4, 2016

#y=1/4x-3#

Explanation:

The equation of a line in #color(blue)"point-slope form"# is.

#color(red)(bar(ul(|color(white)(2/2)color(black)(y-y_1=m(x-x_1))color(white)(2/2)|)))#
where m represents the slope and # (x_1,y_1)" a point on the line"#

here #m=1/4" and " (x_1,y_1)=(4,-2)#

substitute these values into the equation.

#y-(-2)=1/4(x-4)#

#rArry+2=1/4(x-4)larr" point-slope form"#

distribute the bracket and collect like terms.

#y+2=1/4x-1#

#rArry=1/4x-3larr" slope-intercept form"#

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