Find the slope of each line defined below and compare their values.
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
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.
To find the slope of each line, we need to write the equations in slope-intercept form, which takes the form y = mx + b, where m is the slope.
Equation of Line A:
We have the equation y - 4 = -(x - 2). Let's solve for y:
y - 4 = -x + 2
y = -x + 6
Comparing Line A's equation with the slope-intercept form, we see that the slope (m) is -1.
Equation of Line B:
Unfortunately, the equation for Line B is missing. Please provide the equation for Line B so I can proceed with finding its slope.
To find the slope of each line, we can rearrange the equations into slope-intercept form, which is in the form y = mx + b, where m represents the slope of the line.
For Line A:
We have the equation y - 4 = -(x - 2).
To rearrange this equation into slope-intercept form, we need to isolate y on one side.
y - 4 = -x + 2
y = -x + 2 + 4
y = -x + 6
Comparing this equation to y = mx + b, we can see that the slope of Line A is -1.
Now, let's move on to Line B.
As you mentioned a graph for Line B, we'll need to determine the equation of Line B from the given graph.
Please provide more information regarding the graph of Line B or any other details you have, and I'll be happy to assist you further.