Answer:
Slope = 2/3
Step-by-step explanation:
From the attached graph :
Point 1 = (-1, 4)
Point 2 = (-5, - 2)
x1 = - 1 ; x2 = - 5
y1 = 4 ; y2 = - 2
Slope = Rise / Run
Rise = (x2 - x1) = - 5 - (-1) = - 5 + 1 = - 4
Run = (y2 - y1) = - 2 - 4 = - 6
Hence,
Slope = - 4 / - 6 = 4 /6 = 2/3
Slope = 2/3
Answer:
y = 2x - 1
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 = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = A(4, 7) and (x₂, y₂ ) = B(2, 3)
m = = = 2, thus
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation.
Using B(2, 3), then
3 = 4 + c ⇒ c = 3 - 4 = - 1
y = 2x - 1 ← equation of line
Answer:
38.13 m²
Step-by-step explanation:
area of triangle = 1/2 base × height
= 1/2 × 4 × 3
= 6 m²
Area of rectangle = length × width
= 6 × 3
= 18m²
Area of semi circle = 180/360 × π × radius²
= 180/360 × 3.14 × 3²
= 14.13 m²
Add all the areas together
6 + 18 + 14.13 = 38.13