Answer:
Right angles
Step-by-step explanation:
Answer:
Slope (m) =
ΔY
ΔX
=
1
4
= 0.25
θ =
arctan( ΔY ) + 180°
ΔX
= 194.03624346793°
ΔX = 1 – 5 = -4
ΔY = 2 – 3 = -1
Distance (d) = √ΔX2 + ΔY2 = √17 = 4.1231056256177
Equation of the line:
y = 0.25x + 1.75
or
y =
1 x
4
+ 7
4
When x=0, y = 1.75
When y=0, x = -7
Step-by-step explanation:
Answer:
x = k - 3
Step-by-step explanation:
Given parameters:
Gradient of the line = 5;
Coordinates; M(x, 8)
N(k, 23)
Solution:
If we use the expression for finding the slope of the line, we can solve this problem;
Slope = 
where
x₁ = x y₁ = 8
x₂ = k y₂ = 23
Input the parameters:
5 = 
15 = 5(k - x)
3= k- x
k - x = 3
Express x in terms of k;
-x = 3 - k
Multiply through by -1;
x = -3 + k
x = k - 3