What is the equation of a line (in slope-intercept form) that has a slope of 3 and passes through (2,5)?

1 Answer
Jim G.
Dec 9, 2016

#y=3x-1#

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=3" and " (x_1,y_1)=(2,5)#

substituting into the equation gives.

#y-5=3(x-2)rArry-5=3x-6#

#rArry=3x-1" is equation in" color(blue)" slope-intercept form"#

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