When two straight lines intersect, the pairs of nonadjacent angles in opposite posi-tions are known as vertical angles.
If a segment AB is intersected by a transversal labeled t, then ∠1 and ∠3 and ∠2 and ∠4 are vertically angles formed by the transversal t on the segment AB.
Angles ∠1 and ∠2 can be described as adjacent and supplementary angles, so .
Angles ∠3 and ∠2 can be also described as adjacent and supplementary angles, so .
Subtract from the first equation the second equation:.
Similarly you can prove that .
Identify the slope and y-intercept of each of the following lines. Then graph each line.
2 answers:
- x=-7
So
line will be parallel to y axis
no y intercept as parallel to y axis means it will never intercept y axis
- Slope will undefined
Graph attached
Answer:
Below!
Step-by-step explanation:
Since there is a variable (x) on the L.H.S and a constant (-7) on the R.H.S, the line will be a vertical line intersecting the x-coordinate (-7).
~Graph attached
<u>Determining the y-intercept of the line:</u>
Since the line is a vertical line, it's y-intersept is undefined as it will never intersect the y-axis.
<u>Determining the slope of the line:</u>
To determine the slope of the line, pick any two points that is <u>on</u> the line.
- ⇒ (-7, 0) and (-7, 1)
Using the slope formula (y₂ - y₁/x₂ - x₁):
- ⇒ 1 - 0/-7 - (-7)
- ⇒ 1/-7 + 7
- ⇒ 1/0
∴ Any number divided by 0 is undefined
- ⇒ underfined
Thus, the slope and the y-intercept are undefined.
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Step-by-step explanation:
HOPE THAT THIS IS HELPFUL.
HAVE A GREAT DAY.