Answer:
The problem in the first statement is that it does not say that the lines must be in the same plane.
Suppose in a 3D coordinate axis two lines as:
z = 0, y = 0 (this is the x-axis)
y = 1, x = 0 (this line is parallel to the z-axis but one unit above).
Those two lines are not parallel, and also never meet, so the definition is wrong.
The actual definition should be:
"Parallel lines are two lines that lie on the same plane and never meet"
B: The undefined terms are point, line, plane,...
An example can be "Plane", because if our lines do not lie on the same plane, then we can not use the concept of "parallel lines".
Answer:
y = 3x + 12
Step-by-step explanation:
y = 3x - 5 (y = 3x +b)
Parallel lines have same slope.
m = 3; (-2 , 6)
y - y1 = m(x -x1)
y - 6 = 3(x -[-2])
y -6 = 3(x + 2)
y - 6 = 3x + 6
y = 3x + 6 + 6
y = 3x + 12
Answer:
D. 
Step-by-step explanation:
Answer:
The graph option where the y-axis is intercepted at y = -2.5 by the line of the graph.
Step-by-step explanation:
The answer choices for the possible graphs that have the same y-intercept as the graph of 10x - 16y = 40 is missing here.
However, the answer can still be explained here.
We can figure out how the graph would look like.
First, understand that the y-intercept of a graph is the value of y, of the point where the line intercepts the y-axis.
Let's figure out what the y-intercept is given a graph represented by the equation, 10x - 16y = 40.
Rewrite the equation in slope-intercept form.
10x - 16y = 40
-16y = -10x + 40
y = -10x/-16 + 40/-16
y = ⅝x - ⁵/2
Therefore, the y-intercept of the graph of 10x - 16y = 40 is -⁵/2 or -2.5.
✅The graph shows a line with the same y-intercept as the graph of 10x - 16y = 40, would have it's y-axis intercepted at y = -2.5.
