Respuesta :
Answer:
The slope of f(x) is 4 and y-intercept is -3. It is an decreasing function.
The slope of g(x) is -4 and y-intercept is -3. It is an decreasing function.
The slope of h(x) is -4 and y-intercept is 3. It is an increasing function.
The slope of j(x) is 4 and y-intercept is 3. It is an increasing function.
Step-by-step explanation:
The slope intercept form of a line is
[tex]y=mx+b[/tex]
Where, m is slope and b is y-intercept.
If a line passing though two points, then the equation of line is
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
From the given information it is noticed that the function f(x) passing through the points (1,1) and (2,5).
[tex]y-1=\frac{5-1}{2-1}(x-1)[/tex]
[tex]y=4x-4+1[/tex]
[tex]f(x)=4x-3[/tex]
The slope of f(x) is 4 and y-intercept is -3. It is an decreasing function.
From the given information it is noticed that the function g(x) passing through the points (0,-3) and (-2,5).
[tex]y+3=\frac{5+3}{-2-0}(x-0)[/tex]
[tex]g(x)=-4x-3[/tex]
The slope of g(x) is -4 and y-intercept is -3. It is an decreasing function.
The function h(x) is
[tex]h(x)=-4x+3[/tex]
The slope of h(x) is -4 and y-intercept is 3. It is an increasing function.
It is given the initial amount of hat is 3 and number of hats increased by 4. So the function j(x).
[tex]f(x)=4x+3[/tex]
The slope of j(x) is 4 and y-intercept is 3. It is an increasing function.
