Find the measure of the exterior angle shown
1 answer:
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Answer:
k = 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 5 ← is in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes, thus the 2 points have a slope of - 3
calculate the slope using the slope formula and equate to - 3
m =
with (x₁, y₁ ) = (4, - 1) and (x₂, y₂ ) = (k, 5)
m = =
= - 3 ( multiply both sides by (k - 4) )
- 3(k - 4) = 6 ( divide both sides by - 3 )
k - 4 = - 2 ( add 4 to both sides )
k = 2
Answer:
The last option: The x-intercept becomes negative and the new line intersects the original line.
Step-by-step explanation:
Remember that when finding the x-intercept you set y to 0.
Let's compare the two equations when we solve for x:
0=34x-3 0=-34x-3
1. Add 3 to both sides of the equations
3=34x 3=-34x
2. Divide the coefficients
=x
=x
We know that the new slope does not remain the same as stated in the first and third options. In order for two lines to be parallel, the slopes must be exactly the same, so the second option is incorrect. Therefore, the last option is correct.