Answer:
y -1 = 2(x -3)
Step-by-step explanation:
The given equation is in slope-intercept form:
y = mx +b . . . . line with slope m and y-intercept b
y = 2x +3 . . . . . line with slope 2 and y-intercept 3
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A parallel line will have the same slope. Since you are given a point, it is convenient to use the point-slope form for the equation you want:
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y -1 = 2(x -3) . . . . . . line with slope 2 through point (3, 1)
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<em>Additional comment</em>
If you want the slope-intercept form you can solve for y:
y = 2(x -3) +1 = 2x -6 +1
y = 2x -5 . . . . . slope-intercept form of the parallel line
Answer:
1. D
2. B
3. A
4. C
Step-by-step explanation:
1. Vertical angles are a pair of opposite angles formed by the intersection of lines. Choice D has two lines intersecting, and two opposite angles formed by it.
2. Adjacent angles are two angles that have a common vertex and common side but do not overlap. Choice B is two angles with a common vertex and common side, and they don't overlap.
3. Supplementary angles are angles that add up to 180 degrees/make a straight angle. Choice A has two angles that add up to 180 degrees, and the two angles combined make a straight angle/line.
4. Two angles are called complementary angles if they add up to 90 degrees and form a right angle. Choice C has two angles that form a right triangle, meaning it adds up to 90 degrees.
2+2=4
3.54 times 2 is 7.08
3.5 times 3.5 is 7
:)
Answer:
x>-6, x<-4
Step-by-step explanation:
|x+5|>-1
x+5>−1 (Possibility 1)
x+5−5>−1−5 (Subtract 5 from both sides)
x>−6
x+5<−(−1)(Possibility 2)
x+5<1(Simplify both sides of the inequality)
x+5−5<1−5(Subtract 5 from both sides)
x<−4
x>-6 or x<-4
