Answer:
(b) and (c) are true
Step-by-step explanation:
Given
Function A and B
First, calculate the slope of A
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{24 - -21}{8- -7}[/tex]
[tex]m = \frac{45}{15}[/tex]
[tex]m =3[/tex]
The equation of function A is:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 3(x - 8) + 24[/tex]
[tex]y = 3x - 24 + 24[/tex]
[tex]y = 3x[/tex]
The general form of a function is:
[tex]y = mx + b[/tex]
Where [tex]m = slope[/tex] and [tex]b = y\ intercept.[/tex]
This implies that:
[tex]Slope = 3[/tex]
[tex]Y\ intercept = 0[/tex]
For function B:
[tex]y = 4x - 3[/tex]
[tex]Slope = 4[/tex]
[tex]Y\ intercept = -3[/tex]
By comparison:
(b) and (c) are true
