Part A
The first thing we must do in this case is to hide the slopes of each line.
line m:
m = (- 4-3) / (0 - (- 4))
m = -7 / 4
Line n:
n = (- 2-2) / (3-1)
n = -4 / 2
n = -2
Answer:
Lines m and n are not parallel because their slopes are different.
Part B:
We look for the slope of the K line:
k = (1 - (- 3)) / (4 - (- 3))
k = 4/7
We observe that it is true that:
k = -1 / m
Answer:
The lines are perpendicular.
Option A is true because the sum of angles in a triangle is 180, so we can rule that one out immediately.
We can solve for x for the other 3 options by setting up this equation:
7x+2 + 4x+7 + 8x = 180 | Simplify
19x + 9 = 180 | Subtract 9
19x = 171 | Divide by 19
x=9
Now we can substitute x into all the values:
<J = 7x+2 = 65
<L = 4x+7 = 43
<K = 8x = 72
Looking at the options again, we can see that A, B, and D are true, leaving C to be false.
Answer:
a = x-intercept(s): (
3
,
0
)
y-intercept(s):
(
0
,
6
)
B = x-intercept(s):
(
10
,
0
)
y-intercept(s):
(
0
,
4
)
Step-by-step explanation:
#
Answer:
<h2>Explanation:</h2><h2>You know that when x = 0, y = -7 (because y = 4(0)-7 = -7, or you just know the fact that the constant number shows the y-value of the y-intercept). Therefore, you can plot that point on the graph:</h2>
