# What is the slope intercept form of the line passing through #(-7,23) # with a slope of #-5 #?

##### 1 Answer

Aug 5, 2016

y = -5x - 12

#### 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 know m = -5 and can write a

partial equation.hence y = -5x + b is the

partial equationTo find b use the point (-7 ,23) and substitute x = - 7, y = 23 into the

partial equation.

#rArr-5(-7)+b=23rArrb=23-35rArrb=-12#

#rArry=-5x-12" is the equation in slope-intercept form"#