Derive this identity from the sum and difference formulas for cosine:
1 answer:
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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
