How do you write an equation in point slope and slope intercept form given Slope = 2; point on the line is (-2, 1)?

1 Answer
Jim G.
Aug 31, 2016

#y-1=2(x+2)" and " y=2x+5#

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 = 2 and # (x_1,y_1)=(-2,1)#

substitute these values into the equation

#y-1=2(x+2)" in point-slope form"#

distribute bracket and collect like terms to obtain equation in #color(blue)"slope-intercept form"#

#y-1=2x+4rArry=2x+5" in slope-intercept form"#

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