Question

equation of line a:
$y = 6x - 6$
select values from line b:

$x$	$y$
$-1$	$0$
$0$	$-1$

answer attempt 1 out of 2
the slope of line a is \boxed{} and the slope of line b is \boxed{}. therefore the slope of
line a is \boxed{} the slope of line b.

Explanation:

Step1: Find slope of Line A

The equation of Line A is in slope - intercept form \(y = mx + b\), where \(m\) is the slope. For \(y=6x - 6\), the slope \(m = 6\).

Step2: Find slope of Line B

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Using two points from Line B, say \((x_1,y_1)=(- 2,1)\) and \((x_2,y_2)=(-1,0)\). Then \(m=\frac{0 - 1}{-1-(-2)}=\frac{-1}{1}=- 1\). We can also check with \((-1,0)\) and \((0, - 1)\): \(m=\frac{-1 - 0}{0-(-1)}=\frac{-1}{1}=-1\).

Step3: Compare slopes

The slope of Line A is \(6\) and the slope of Line B is \(-1\). Since \(6>-1\), the slope of Line A is greater than the slope of Line B.

Answer:

The slope of Line A is \(\boldsymbol{6}\) and the slope of Line B is \(\boldsymbol{-1}\). Therefore the slope of Line A is \(\boldsymbol{\text{greater than}}\) the slope of Line B.