What is the slope and the y intercept of the line defined by the equation #3x-4y=5#?

1 Answer
Dec 16, 2016

Answer:

#y = 3/4x - 5/4#

Explanation:

The slope-intercept form of a linear equation is:

#color(red)(y = mx + b)#
Where #m# is the slope and #b# is the y-intercept value.

Therefore, we must solve this standard form linear equation for #y# to obtain the slope-intercept form:

#3x - 3x - 4y = -3x + 5#

#0 - 4y = -3x + 5#

#-4y = -3x + 5#

#(-4y)/-4 = (-3x + 5)/-4#

#(cancel(-4)y)/cancel(-4) = (-3x)/-4 + 5/-4#

#y = 3/4x - 5/4#