Answer:
y= -2x -8
Step-by-step explanation:
I will be writing the equation of the perpendicular bisector in the slope-intercept form which is y=mx +c, where m is the gradient and c is the y-intercept.
A perpendicular bisector is a line that cuts through the other line perpendicularly (at 90°) and into 2 equal parts (and thus passes through the midpoint of the line).
Let's find the gradient of the given line.
Gradient of given line
The product of the gradients of 2 perpendicular lines is -1.
(½)(gradient of perpendicular bisector)= -1
Gradient of perpendicular bisector
= -1 ÷(½)
= -1(2)
= -2
Substitute m= -2 into the equation:
y= -2x +c
To find the value of c, we need to substitute a pair of coordinates that the line passes through into the equation. Since the perpendicular bisector passes through the midpoint of the given line, let's find the coordinates of the midpoint.
Midpoint of given line
Substituting (-3, -2) into the equation:
-2= -2(-3) +c
-2= 6 +c
c= -2 -6 <em>(</em><em>-</em><em>6</em><em> </em><em>on both</em><em> </em><em>sides</em><em>)</em>
c= -8
Thus, the equation of the perpendicular bisector is y= -2x -8.
Answer:
A
B
D
Step-by-step explanation:
A 230 divided by 4 is 57.5 which makes A a true statement.
B 296 divided by 5 is 59.2 which makes B a true statement .
D 296 - 230 =66
66 - 57.5 = 8.5
Which makes D a true statement by a margin of 8.5 words.
Answer:
x = 6°
Step-by-step explanation:
∠7 and ∠5 are equal because the two intersecting lines are parallel.
The equation is:
78° = 12x + 6°
Subtract 6 from both sides
72° = 12x
Divide by 12 on both sides
6° = x
x = 6°
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-Chetan K