First, convert the linear equation to slope-intercept form. The slope-intercept form of a linear equation is: #y = color(red)(m)x + color(blue)(b)# Where #color(red)(m)# is the slope and #color(blue)(b)# is the y-intercept value. Then switch out the #y# variable for #f(x)# : #f(x) = mx + b#
smendyka · 1 · Jun 23 2018
A function is a set of ordered pairs (points) formed from a defining equation, where, for each #x# -value there is only one #y# -value.
#x-------> y# represents a function This means that you can choose an #x# -value and plug it into an equation, usually given as: #y= . " " or" " f(x)= . # This will give you a #y# -value. In a function there will be only ONE possible answer for #y# . If you find you have a choice, then the equation does not represent a function. The following are functions: #y=-3# #y=3x-5# #y = 2x^2-3x+1# #(1,2), (2,2), (3,2),(4,2)# The following are NOT functions: #x= 3# #y=+-sqrt(x+20)#
EZ as pi · 1 · Mar 25 2018
We can do more than giving an example of a linear equation: we can give the expression of every possible linear function. A function is said to be linear if the dipendent and the indipendent variable grow with constant ratio. So, if you take two numbers #x_1# and #x_2# , you have that the fraction #/# is constant for every choice of #x_1# and #x_2# . This means that the slope of the function is constant, and thus the graph is a line. The equation of a line, in function notation, is given by #y=ax+b# , for some #a# and #b \in \mathbb# .
KillerBunny · 1 · Feb 1 2015
