Answer:
The equation of the line is y = (-1/2)x + 5
Step-by-step explanation:
First of all, have to find gradient using the formula above :
(2,4) & (14,-2)
m = (-2-4) / (14-2)
= -6 / 12
= -1/2
Second, using y = mx + b as b is a constant and is a y-intercept. Using any of these 2 coordinates to find the value of b with given gradient :
y = mx + b
Let y=4 & x=2
4 = (-1/2)(2) + b
b = 4 + 1
= 5
Lastly, put the value of gradient and y-intercept into the equation :
y = mx + b
Let m=-1/2 & b=5
y = (-1/2)x + 5
Answer:
The formula to calculate the Celsius temperature for a given Fahrenheit temperature is:
Step-by-step explanation:
Given formula:
where represents temperature in Fahrenheit and
represents temperature in Celsius.
To solve the equation for .
Solution:
We have,
Subtracting both sides by 32.
Dividing both side by 1.8
∴
Using the above formula, we can calculate the Celsius temperature for a given Fahrenheit temperature.
Answer:
x = -1 ± √6 / 5
Step-by-step explanation:
Solve + 2x = 1
move 1 to the left side of the equation by subtracting it from both sides.
+ 2x - 1 = 0
Use the quadratic formula to find the solutions.
-b± / 2a
Substitute the values a = 5 , b = 2, and c = -1 into the quadratic formula and solve for x
-2±/ 2 ⋅ 5
Simplify.
x = -2 ± 2 / 10
x = -1 ± / 5
Exact Form:
x = -1 ± / 5