Question #e7957

2 Answers
James R.
Oct 7, 2017

Slope #=-3#
Y-intercept = #=4#
as an ordered pair it would be (-3, 4)

Explanation:

In this equation, the line is linear and so it has the formula #y=mx+b# . The m value is the slope, and so with our equation #y=-3x+4#, the m value is the coefficient directly in front of the x value, and so the slope is -3.

The y-intercept is the y value when the line cuts through the y-axis. We know that the line will always cut through the y-axis at #x=0#, and so in the equation #y=-3x+4#, we set x to 0.

#y=-3x+4#
#y=-3(0)+4#
#y=4#

BRIAN M.
Oct 7, 2017

The slope is #m=-3#
The y-intercept is #(0,4)#

Explanation:

The equation of a line is #y=mx+b#
where the value of the slope #=m#
and the y-intercept #=b#

For the equation #y=4-3x#
we can rearrange the values into the standard form of
#y=mx+b#
#y=-3x+4#

now #m=-3# the slope
and #b = 4# the y-intercept
The line would cros the y-axis at #y=4# and #x=0#
giving the cordinate ordered pair #(0,4)

graph{y=-3x+4 [-10, 10, -5, 5]}

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