Answer:
y = 
x - 3
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 ) = (- 5, - 7) and (x₂, y₂ ) = (5, 1)
m = 
= 
= , thus
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (5, 1), then
1 = 4 + c ⇒ c = 1 - 4 = - 3
y = x - 3 ← equation of line
Answer:
x^2 + x + 2 = 0.
Step-by-step explanation:
The discriminant b^2 - 4ac is < 0 for complex roots.
So we can choose appropriate values for a, b and c.
Let b = 1, a = 1 and c = 2 so b^2 - 4ac = 1 - 4*1*2 = -7.
So our equation is:
x^2 + x + 2 = 0.
D 0
to calculate the slope (m ) use the ' gradient formula '
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (4, 2)
m = 
= 
= 0
Answer:
The answer would be A.) 21 gallons.
Step-by-step explanation:
1.) The first thing you need to do is see how many miles per gallon the van is using by doing 168/14= 12.
2.) Then, you would apply this to the amount need to travel by doing 252/12= 21, meaning the answer is in fact A.) 21 gallons.
