Answer:
D
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate the slope of the given line using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, - 4) and (x₂, y₂ ) = (2, 2) ← 2 points on the line
m = =
=
Parallel lines have equal slopes and using (a, b) = (- 3, 1), then
y - 1 = (x - (- 3)), that is
y - 1 = (x + 3) ← in point- slope form
Answer:
200 litres
Step-by-step explanation:
let g be gasoline used, d the distance travelled and s the speed, then the equation relating the quantities is
g = kd ← k is the constant of variation
To find k use g = 25, d = 100 and s = 100, then
25 = k × 100 × = k × 100 × 10 = 1000k ( divide both sides by 1000 )
0.025 = k
g = 0.025d ← equation of variation
When d = 1000 and s = 64, then
g = 0.025 × 1000 × = 0.025 × 1000 × 8 = 200