2. Find the equation of a linea) With a slope of 4, passing through the origiin
2 answers:
Answer:
Step-by-step explanation:
<u>Equation of the line</u>
A line can be expressed in many forms.
The equation of the line in slope-intercept form is:
y=mx+b
Being m the slope and b the y-intercept.
The point-slope form of the equation of a line is:
y-k=m(x-h)
Where m is the slope and (h,k) is a point through which the line passes.
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:
We are required to find a line with slope m=4 passing through the origin (0,0).
Using the point-slope form:
y-0=4(x-0)
Simplifying
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Answer:
Kevin's constant of proportionality,k = $8.25 per hour
Greg's constant of proportionality,k = $9 per hour
Savannah's constant of proportionality,k = $9.5 per hour
Step-by-step explanation:
1. What is the constant of proportionality, k, of Kevin's wage? Greg's? Savannah's?
Solution
y = kx is a proportional variation
Where,
y and x are represent two different variables
k represent constant of proportionality
From the attached table,
Let
y = wages earned (in dollars)
x = hours worked
To find the constant of proportionality k of Kevin's wage, divide the variable y (total earned) by the variable x (number of hours)
Using any points on the table
Take (8,66.00) for example
constant of proportionality k of Kevin's wage = variable y (total earned) / variable x (number of hours)
= 66.00/8
= 8.25
k = $8.25 per hour
B. Constant of proportionality of Greg's wage = variable y (total earned) / variable x (number of hours)
Using (9, 81.00)
k = 81.00/9
= 9
Greg's k = $9 per hour
C. Constant if proportionality of Savannah's wage = variable y (total earned) / variable x (number of hours)
Using (6, 57.00)
k = 57.00/6
= 9.5
Savannah's k = $9.5 per hour
Therefore,
Kevin's constant of proportionality,k = $8.25 per hour
Greg's constant of proportionality,k = $9 per hour
Savannah's constant of proportionality,k = $9.5 per hour
