Answer:
Slope intercept form: y = 4x + 14
Slope: 4
Y-intercept: 14
Step-by-step explanation:
y - 2 = 4(x + 3)
Use distributive property
y - 2 = 4x + 12
y - 2 + 2 = 4x + 12 + 2
y - 0 = 4x + 14
y = 4x + 14
Answer:
The equation that matches the table is y = -5x + 7 ⇒ C
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope of the line
- b is the y-intercept (value y at x = 0)
The rule of the slope is m = 
, where
- (x1, y1) and (x2, y2) are two points on the line
From the given table
→ Choose any two points from the table
∵ Points (0, 7) and (1, 2) are in the table
∴ x1 = 0 and y1 = 7
∴ x2 = 1 and y2 = 2
→ Substitute them in the rule of the slope above
∵ m = 
∴ m = -5
→ Substitute it in the form of the equation above
∵ y = -5x + b
∵ b is the value of y at x = 0
∵ At x = 0, y = 7
∴ b = 7
∴ y = -5x + 7
∴ The equation that matches the table is y = -5x + 7
Answer:
x = 3
Step-by-step explanation:
Given
f(x) = - 10x + 45 and f(x) = 15, then equating gives
- 10x + 45 = 15 ( subtract 45 from both sides )
- 10x = - 30 ( divide both sides by - 10 )
x = 3
Answer: 12.75 inches
Step-by-step explanation:
Let x represent last year's rainfall.
Multiply by 0.8 since this year was 20% less.
x(0.8)= 10.2
x = 12.75
Answer:
n = -36
Step-by-step explanation:
The answer is -36 because:
1) We first have to subtract -24 and 12 to find n
-24 - 12 = -36
This is because whenever there are two negative signs, multiply it.
Negative x Negative = Positive
We have to do, 24 + 12 which is 36. Finally, we just put the greater number's sign to the answer. 24 is greater than 12, therefore, we put a negative sign before 36.
Hope this helps!
