How do you write the equation in slope intercept form of the line that has a slope of 2 and contains the point (1,1)?

1 Answer
Jim G.
Aug 24, 2016

#y=2x-1#

Explanation:

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

#color(red)(|bar(ul(color(white)(a/a)color(black)(y=mx+b)color(white)(a/a)|)))#
where m represents the slope and b, the y-intercept.

here we have m = 2 and so the partial equation is

#y=2x+b#

To find the value of b, substitute the coordinates of the point (1 ,1) into the partial equation That is x = 1 and y = 1.

#rArr(2xx1)+b=1rArr2+b=1rArrb=-1#

#rArry=2x-1" is equation in slope-intercept form"#

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