What is the slope and #y# intercept of #y=-6x-5#?

2 Answers
ProfLayton
Apr 20, 2016

Slope = -6, y-intercept = (0,5)

Explanation:

The current equation is in what's called the gradient-intercept form: #y=mx+b#. We know this because

  • the degree of the polynomial is 1 (there is no #_^2# or any number above the #x#)
  • the #y# is alone on one side

Now to explain what #m# and #b# are from the equation:
- #m# is the slope of the equation. As you can see from looking at the two equations, #m# is #-6#
- #b# is the y-intercept of the line. As you can see from looking at the two equations, #b# is# -5#. However we refer to it as (0,5) because those are the correct coordinates of where it hits the y-axis

Nallasivam V
Apr 20, 2016

slope #m=-6#
Y-intercept is #-5#

Explanation:

Given -

#y=-6x-5#
It is in the slope - intercept form #y=mx+c#

Where -
coefficient of #x# is the slope.
Constant term is Y-intercept.

In the given Problem -
slope #m=-6#
Y-intercept is #-5#

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