Gradient in the UK = slope in the U.S.
The gradients of perpendicular lines are negative reciprocals.
That means the gradients of perpendicular lines are two numbers whose product is -1.
If you know the gradient of a line, to find the gradient of a perpendicular to that line, write the gradient as a fraction. Flip the fraction. Change the sign.
a) gradient = 4 = 4/1
flip the fraction: 1/4
change the sign: -1/4
The gradient of the perpendicular is -1/4
b) gradient = -3 = -3/1
flip the fraction: -1/3
change the sign: 1/3
The gradient of the perpendicular is 1/3
c) gradient = 2/3 (already a fraction)
flip the fraction: 3/2
change the sign: -3/2
The gradient of the a perpendicular is -3/2
The correct answer for the question that is being presented above is this one:
x + y = 5
<span>y = one halfx + 2
</span>y = 1/2 x + 2
-1/2 x + y = 2
Eliminate y by subtracting the two equations.
<span>x + y = 5
</span><span>-1/2 x + y = 2
</span>----------------------
3/2 x = 3
3x = 6
x = 2
x + y = 5
2 + y = 5
y = 5-2
y = 3
So, the answer is (2,3).
Answer:
-1.8
Step-by-step explanation:
m= y2 - y2over x2 - x1
m= -1 - 8 over 1 - 6 = -1.8
m= -1.8
Answer:
y = 0x
Step-by-step explanation:
y=-4x-b
0 = -4(0) + b
0 = 0 + b
0
Answer:
2
Step-by-step explanation:
Let f(x) = 2x – 1
Substitute (x + b) in place of x.
f(x + b) = 2(x + b) – 1
= 2x + 2x –1
To find :
(Cancel common term)
Hence,