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
Answer:
Step-by-step explanation:
Given
--- probability of scoring
Required
Probability that his first miss is his 6th shot
Let q represent the event that he did not score.
Using complement rule:
The event that his first miss is his 6th is represented as:
p p p p p q ---- That he scoress the first 5 attempts
So, the probability is:
Answer:
Step-by-step explanation:
One is asked to find the distance between two points on a coordinate plane. The easiest way to do so is to use the distance formula, this formula is the following:
Where () and (
) are the points which one needs to find the distance between. In this case, these points are as follows:
Substitute these points into the formula and solve for the distance between these points,
Simplify,