How do you write an equation in slope intercept form given ( 2,-5), Slope -7/2?

1 Answer
Jim G.
Jul 11, 2016

#y=-7/2x+2#

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 are given the slope and require to find b.

We can write a partial equation : #y=-7/2x+b#

To calculate b, substitute the given point (2 ,-5) into the partial equation.

x = 2 , y = -5 : #-7/cancel(2)xxcancel(2)+b=-5#

#rArr-7+b=-5rArrb=-5+7=2#

#rArry=-7/2x+2" is equation in slope-intercept form"#

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