A cost center’s performance report does not include
1 answer:
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Given parameters:
Coordinates of end points = (2, -3) and (-6,5).
Slope of line =
Unknown:
Equation of the line with the given slope = ?
Solution:
Let us find the coordinates of the mid-point of the line given.
Since the end points are (2, -3) and (-6,5);
Midpoint;
x, y = ,
x, y = ,
= -2 , 1
The coordinate of the mid point = -2,1
Equation of a line is;
y = mx + c
x and y are the coordinates
m is the slope
c is the y intercept
We need to find c in order to fully develop our equation;
y = mx + c
y = 1 , x = -2 and m =
So,
1 = x (-2) + c
c = 1 + =
Now, the equation of the line is;
y = -2x +
Multiply through by 7,
7y = -14x + 25
The equation of the line is 7y = -14x + 25
Complete Question:
Juanita makes leather lanyards to sell. She
charges a base fee and a cost per inch of
the finished lanyard. The line shows the
cost y for x inches of lanyard. Write an
equation for the line in slope-intercept
form.
*See attachement for the graph given
Answer:
y = ½x + 5
Step-by-step explanation:
Equation in slope-intercept takes the following form, y = mx + b
m = slope = change in y/change in x
b = y-intercept
Let's find m and b using the graph given
✔️Slope of the line using two points form the graph, say (0, 5) and (2, 6):
Slope (m) = ∆y/∆x = (6 - 5)/(2 - 0) = 1/2
Slope (m) = ½
✔️ y-intercept (b) is the y-coordinate of the point where the line intercepts the y-axis = 5. When y = 5, x = 0. Therefore,
b = 5
✔️To write the equation of the line, substitute m = ½ and b = 5 into y = mx + b:
y = ½x + 5
