Question

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

Answer 1

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