Answer:
The linear equation represents a proportional relationship and its constant of proportionality is .
Step-by-step explanation:
A proportional relationship exists when the following relationship is observed:
Where:
- Dependent variable.
- Independent variable.
- Proportionality constant.
If and
and
, the following expresion is found:
The linear equation represents a proportional relationship and its constant of proportionality is .
Answer:
Slope = -3
y-intercept = (0,-4)
Equation: y = -3x-4
Step-by-step explanation:
We can take any two input-output pairs from the table to find the equation of given function.
Linear function is given by:
Here m is the gradient of the functions which is defined as:
The input-output pairs are:
(x1,y1) = (-1,-1)
(x2,y2) = (0,-4)
First of all,
Putting the value of slope in the equation
Putting (-1,-1) in the equation
The equation will be:
Hence,
Slope = -3
y-intercept = (0,-4)
Equation: y = -3x-4
Answer:
the second choice is correct
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x - 9 is in this form
with slope m =
• Parallel lines have equal slopes, hence
y = x + c ← is the partial equation of the parallel line
To find c substitute (- 8, - 18) into the partial equation
- 18 = - 6 + c ⇒ c = - 18 + 6 = - 12
y = x - 12 ← equation of parallel line