How do you find the slope and intercept of #6x - 14 = y#?

2 Answers
Aug 3, 2018

Answer:

Slope: #6#

x-intercept: #(7/3, 0)#

y-intercept: #(0, -14)#

Explanation:

#y = 6x - 14#

This equation is in slope-intercept form:
www.geogebra.org

Based on the image, we know that the slope is the value multiplied by #x#, so the slope is #6#.

We know the #y#-intercept is #b#, or #-14#, so the #y#-intercept is at #(0, -14)#.

To find the #x#-intercept, plug in #0# for #y# and solve for #x#:
#0 = 6x - 14#

#14 = 6x#

#14/6 = x#

#7/3 = x#

#x = 7/3#

The #x#-intercept is at #(7/3, 0)#.

Hope this helps!

Aug 3, 2018

Answer:

Slope #6#, #x#-int #7/3#, #y#-int #-14#

Explanation:

We have the following:

#y=6x-14#

The good thing is that this equation is in slope-intercept form

#y=mx+b#, with slope #m# and a #y#-intercept of #b#.

From pattern matching, we see that our slope is #6# and our #y#-intercept is #-14#. We find our #x#-int. by setting #y# to zero.

We get

#6x-14=0=>6x=14=>x=7/3#

Therefore, our slope is #6#, our #y#-intercept is #-14# and our #x#-intercept is #7/3#.

Hope this helps!