How do you find the slope and intercept of #y = 6 - x#?

Question

12412 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-02T15:04:10

gradient =-1
Intercepts are (6,0) and (0,6)

the slope is basically the gradient ie m=-1

the x-intercept is found by subbing y=0 so x=6 (6,0)

the y-intercept is found by subbing x=0 so y=6 (0,6)

Answer 2 · 2018-04-02T15:55:37

The slope is #-1#.

The y-intercept is #6# and the point is #(0,6)#.

The x-intercept is #6# and the point is #(6,0)#.

Given:

#y=6-x# is a linear equation in slope-intercept in slope-intercept form:

#y=mx+b#,

where:

#m# is the slope and #b# is the y-intercept.

#m=-1# and #b=6#

Since the y-intercept is the value of #y# when #x=0#, the point for the y-intercept is #(0,6)#.

The x-intercept is the value of #x# when #y=0#.

#0=6-x#

#x=6#

The x-intercept is #6#.

The point for the x-intercept is #(6,0)#

graph{y=6-x [-11.16, 11.34, -3.375, 7.875]}