y = x + 2
Step-by-step explanation:
General formula for any straight line:
y = mx + c
Where
m = gradient
c = constant
m = y2 - y1/x2 - x1
m = (4 - ( -2))/(2 - ( -4))
m = 6/6
m = 1
y = (1)x + c
y = x + c
Substitute any coordinate from the line of the equation.
4 = 2 + c
c = 2
substitute m and c into general formula
y = mx + c
y = x + 2
Let us assume the gas bill of Paul in February = x dollars
Then
Electric bill of Paul for the month of February = (x/2) + 3
Amount of Electricity bill of Paul for the month of February = $92
then we can write the equation as
(x/2) + 3 = 92
x/2 = 92 - 3
x/2 = 89
x = 89 * 2
= 178 dollars
So the gas bill of Paul in February is $178. I hope this is the answer you were looking for.
Solve for y. Do that by adding the opposite of the x-term, then dividing by the coefficient of y.
11y = 12x - 8
y = (12/11)x - 8/11
The slope is 12/11.
The y-intercept is -8/11.
Answer:
<u>D) x² - y = 10x + 25 + y</u>
Step-by-step explanation:
A relation only becomes a function if each x-value only has a single y-value as the answer.
<u>Evaluating</u>
- A and B cannot be the answers as each value will get 2 answers
- C will also not be the answer as y² means at least 2 answers will be given
- <u>D</u> is the best option as each inputted x-value will get an answer of a single y-value
Two times the variable x plus eight is greater than but not equal to negative four.