Respuesta :
Answer:
The difference in slopes of [tex]f(x)\ and\ g(x)[/tex] is = 3
We can say slope of [tex]f(x)[/tex] is positive and 3 more than slope of [tex]g(x)[/tex] while slope of [tex]g(x)[/tex] is negative.
Difference of y-intercepts of [tex]f(x)\ and\ g(x)[/tex] is = -7
We can say the y-intercept of [tex]g(x)[/tex] is positive and 7 units above [tex]f(x)[/tex] while y-intercept of [tex]f(x)[/tex] is negative.
Step-by-step explanation:
Given equation:
[tex]f(x) =2x - 2[/tex]
[tex]g(x) =5-x[/tex]
We need to find the difference of slopes and y-intercepts of the given equations.
The standard form of a slope intercept equation of line is given by:
[tex]y=mx+b[/tex]
where [tex]m[/tex] represents slope and [tex]b[/tex] represents y-intercept of line.
Writing the given equations in standard form to find slope and y-intercept.
[tex]f(x) =2x +(-2)[/tex]
Slope = 2 and y-intercept =-2
[tex]g(x) =(-1)x+5[/tex]
Slope = -1 and y-intercept =5
The difference in slopes of [tex]f(x)\ and\ g(x)[/tex] is = [tex]2-(-1)=2+1=3[/tex]
We can say slope of [tex]f(x)[/tex] is positive and 3 more than slope of [tex]g(x)[/tex] while slope of [tex]g(x)[/tex] is negative.
Difference of y-intercepts of [tex]f(x)\ and\ g(x)[/tex] is = [tex]-2-5=-7[/tex]
We can say the y-intercept of [tex]g(x)[/tex] is positive and 7 units above [tex]f(x)[/tex] while y-intercept of [tex]f(x)[/tex] is negative.
