# What is the slope intercept form of the line passing through #(6,2) # with a slope of #-3/5 #?

##### 1 Answer

Apr 12, 2016

#### Explanation:

The equation of a line in slope-intercept form is

y = mx + c, where m represents the gradient (slope) and c , the y-intercept.given

# m = -3/5 " then partial equation is " y = -3/5 x + c # To find c , use the point on the line (6 , 2) and substitute into equation.

x = 6 , y = 2 :

# -3/5xx6 + c = 2 rArr c = 2 + 18/5 = 28/5 # hence equation is :

# y = -3/5 x + 28/5 #