Answer:
y = (2/3)x + 4
Step-by-step explanation:
(Step 1)
Pick two points from the line.
Point 1: (0,4)
Point 2: (-6, 0)
(Step 2)
Use the point-slope formula to calculate the slope(m) of the line. This equation requires the input of the "x" and "y" values from the points.
y₁ - y₂ = m(x₁ - x₂) <----- Point-slope form
4 - y₂ = m(0 - x₂) <---- Plug in "x" and "y" values from Point 1
4 - 0 = m(0 - (-6)) <---- Plug in "x" and "y" values from Point 2
4 = m(6) <---- Simplify left side and parentheses
2/3 = m <---- Divide both sides by 6
(Step 3)
Use the slope-intercept formula to calculate the y-intercept of the line. This equation requires the input of one of the point's "x" and "y" values and the slope.
y = mx + b <---- Slope-intercept form
y = (2/3)x + b <---- Plug (2/3) in for "m"
4 = (2/3)(0) + b <---- Plug in "x" and "y" values from Point 1
4 = b <---- Multiply
(Step 4)
Now you have the necessary values to determine the equation of the graph. Substitute the values for "m" and "b" into the slope-intercept formula to find the final answer.
m = 2/3
b = 4
y = mx + b
y = (2/3)x + 4
Answer: Slope (m) =ΔY/ΔX=5/2=2.5
Answer:
q = p/6 - 7/6
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Given function:</u>
<u>Putting this into slope-intercept form: y = mx + b</u>
- 9x + 3y = 12
- 3y = -9x + 12
- y = -3x + 4
<u>Replacing y with f(x)</u>
Answer:
4322.64 ft^2
Step-by-step explanation:
Diameter:
Area of circle: - r = radius
Area of rectangle: - l = length, w = width
The area of the family's backyard is 110 × 50 = 5500 feet. Now, let's find the area of the circular swimming pool.
Next, we find the area of the concrete walkway.
After that, we add the area of the circular pool and walkway.
Lastly, subtract 1177.36 from 5500.
Therefore, the answer is 4322.64.
Have a lovely rest of your day/night, and good luck with your assignments! ♡