Answer:
y- intercept = - 2.5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (1, - 7) and (x₂, y₂ ) = (5, - 25)
m =
=
= - 4.5 , then
y = - 4.5x + c
To find c substitute either of the 2 points into the equation
Using (1, - 7), then
- 7 = - 4.5 + c ⇒ c = - 7 + 4.5 = - 2.5
y- intercept c = - 2.5
So you move left to right like PEMDAS when it comes to adding or subtracting either or could go first and same thing applies with multiplying and dividing so for instance in this case
47*7=329
_
329/9=36.5
The distance from Dan's house to Samuel's house is 4 km
The distance from Dan to Samuel house, Dan to Cindy house and Samuel to Cindy house forms a right angled triangle.
Distance from Dan to Samuel house = x, Distance from Dan to Cindy house = 3 km and Distance from Cindy to Samuel house = 5 km
Pythagoras theorem shows the relationship between the lengths of a right angled triangle.
Using Pythagoras theorem:
5² = x² + 3²
25 = x² + 9
x² = 16
x = 4 km
Hence the distance from Dans house to Samuel's house is 4 km
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