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

Answer 1

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