Algebra PLEASE HELPP

Question

Linear function f(x) = x is graphed on a coordinate plane. The graph of a new line is formed by changing the slope of the original line to 2/3 and the y-intercept to 4. Which statement about the relationship between these two graphs is true?

Answer 1

g(x) = 2x/3 + 4

f(x) = x or more explicitly

f(x) = (1)x + 0

the new function has 2/3 the slope of the old function

and a y intercept greater by 4

general equation is

h(x) = mx + b where m=slope and b=y intercept

graphically, f(x)=x is a 45 degree line, diagonally going through the origin (0,0) with y intercept = 0

g(x) = (2/3)x+4 is a little less steep, it's the angle tan^-1(2/3), the angle whose tangent is 2/3

reduce the angle and shift it up by 4 and you go from f(x) to g(x)

the angle whose tangent is 2/3 is about 33.69 degrees, about 11.31 degrees less than the original line