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

##### 1 Answer

Jul 11, 2016

#### 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"#