Answer:
12) y=3x-15
14) y=-1/2x
16) y=13x-105
Step-by-step explanation:
Parallel lines always have the same slopes but different y-intercepts. So, we can make the equation (b is y-intercept of new equation):
12) y=3x+b
14) y=-1/2x+b
16) y=13x+b
now, we can plug in each of the coordinates given to these equations.
12) (4,-3): 4 is x, -3 is y.
-3=3(4)+b
simplify: b= -15
14) (-4,2): -4 is x, 2 is y
2=-1/2(-4)+b
simplify: b=0
16) (9,12): 9 is x, 12 is y
12=13(9)+b
simplify: b=-105
Now, plug in those numbers to your equation for b value.
12) y=3x-15
14) y=-1/2x
16) y=13x-105
*for 14 we don't need to write anything after -1/2x because b=0*
Answer:
a² + 2ab + b²
Explanation:
⇒ (a + b)²
⇒ (a + b)(a + b)
[apply distributive method: (a + b) (c + d) = ac + ad + bc + bd]
⇒ a² + ab + ab + b²
⇒ a² + 2ab + b²
Answer:
4
Step-by-step explanation:
1.b
2.c
3.d
4.g
Answer:
Question 1: y = 3/4x + 1/4.
Question 2: y = 6/5x + 7/5.
Step-by-step explanation:
Question 1: A line perpendicular to another line would have a slope that is the negative reciprocal of the other line. If the slope of the first line is -4/3, the slope of a line perpendicular to the first would have a slope of 3/4.
Since the line goes through (5, 4), we can just put the points into the equation, y = 3/4x + b.
4 = 3/4(5) + b
b + 15/4 = 4
b = 16/4 - 15/4
b = 1/4
So, the equation of the line is y = 3/4x + 1/4.
Question 2: 5x + 6y = -6
6y = -5x - 6
y = -5/6x - 1
As stated before, a line perpendicular to another will have a slope that is the negative reciprocal of the other. So, the slope of the other line is 6/5.
The line goes through (-2, -1), so we can put the points into the equation, y = 6/5x + b.
-1 = 6/5(-2) + b
b - 12/5 = -5/5
b = -5/5 + 12/5
b = 7/5
So, the equation of the line is y = 6/5x + 7/5.
Hope this helps!
