Find the slope of each line defined below and compare their values.

Question

Equation of Line A:
Equation of Line A:
​

y, minus, 4, equals, minus, left bracket, x, minus, 2, right bracket
y−4=
−(x−2)
start underline, Graph of Line B:, end underline

Answer 1

To find the slope of each line, we need to put them in the slope-intercept form, which is y = mx + b.

For Line A:
We need to rewrite the equation in slope-intercept form:

y - 4 = -(x - 2)

First, distribute the negative sign:
y - 4 = -x + 2

Next, add 4 to both sides of the equation to isolate y:
y = -x + 6

Now we can see that the slope, m, is -1.

For Line B:
Since the equation of Line B is not given, we cannot find its slope. Please provide the equation of Line B for further analysis.