Answer:
y - 1 = (x - 3)
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 m using the slope formula
m =
with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (3, 1) ← 2 points on the line
m = =
and using (a, b) = (3, 1 ) , then
y - 1 = (x - 3)
Answer:
Slope =
Step-by-step explanation:
Let the equation representing the number of gallons left in the gas tank is,
G = mt + b
Where m = slope of the line
b = y-intercept of the line
Slope of the line passing through two points and
is,
'm' =
Slope of the line passing through (8, 5) and (4, 10),
m =
m = -
Equation of line will be,
G =
Since, point (8, 5) lies on this line,
5 =
5 = -10 + b
b = 15
Therefore equation of the function will be,
G =
Here slope of the function represents the gallons of gas is consumed to drive the car for one hour.
Answer:
The width of the walkway is 4 feet.
Step-by-step explanation:
The garden and a walkway around its perimeter have an area of 460 square feet.
The length of the garden = 15 feet
The width of the garden = 12 feet
Assuming that walkway is of uniform width, we can solve the following equation.
Expanding this we get;
We will solve this using quadratic equation formula:
Here a = 4 , b = 54 , c = -280
We get the roots as x = 4 and x =
Neglecting the negative value, we will take x = 4 feet.
Hence, the width of the walkway is 4 feet.