I must make some assumptions here about what you may have meant by your "linear equation y=3x−5y=3x−5 y equals 3 x , minus 5."
You've written "y=3x-5" three times on the same line of type. Why is that?
Let's change what you've typed to the following:
linear equation y=3x−5
separate linear equation y equals 3x minus 5, or y=3x-5
Please go back and ensure that you have copied down this problem precisely as it was originally presented. Be careful not to duplicate info (as you did in typing "y=3x-5," followed by "y equals 3 x , minus 5."
y = 3x - 5 is, as you say, "a linear equation." The slope of this line is 3 and the y-intercept is (0, -5).
As to form: This is a "slope-intercept equation of a straight line."
Other forms include "General form of the equation of a straight line," "Point-slope form."