# What is the slope-intercept form of the line passing through #(6, 1) # and # (-4, 1) #?

##### 1 Answer

Feb 27, 2016

y = 1

#### Explanation:

The slope-intercept form of the line is y = mx + c , where m represents the gradient (slope) and c , the y-intercept.

Require to calculate m using

#color(blue)" gradient formula "#

# m = (y_2 - y_1)/(x_2 - x_1) # where

#(x_1,y_1) " and " (x_2,y_2) " are the coords of 2 points "# here let

#(x_1,y_1) = (6,1)" and " (x_2,y_2) = (-4,1)# hence

# m = (1-1)/(-4-6) = 0 # m = 0 , indicates this line is parallel to the x-axis , with equation y = a , where a , are the y-coords of points it passes through. Here that is 1.

hence equation is y = 1