Question

Function A and Function B are linear functions. Compare the two functions and choose all that are correct. Can someone help?

Answer 1

Answer:

(b) and (c) are true

Step-by-step explanation:

Given

Function A and B

First, calculate the slope of A

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{24 - -21}{8- -7}$

$m = \frac{45}{15}$

$m =3$

The equation of function A is:

$y = m(x - x_1) + y_1$

$y = 3(x - 8) + 24$

$y = 3x - 24 + 24$

$y = 3x$

The general form of a function is:

$y = mx + b$

Where $m = slope$ and $b = y\ intercept.$

This implies that:

$Slope = 3$

$Y\ intercept = 0$

For function B:

$y = 4x - 3$

$Slope = 4$

$Y\ intercept = -3$

By comparison:

(b) and (c) are true