Answer:
y = (3/4)x + 2
Step-by-step explanation:
Slope-intercept form is y=mx+b where (x, y) is a point on the linear graph, m is the slope (rise/run), and b is the y-intercept (the y-value at which the graph passes through the y-axis).
Looking at the graph, we can see that the point at which the line crosses the y-axis is (0, 2) which makes it the y-intercept. Thus, the b in the slope-intercept form is 2.
Next, we are looking for the slope of the line. To do this, we can calculate the rise/run of the line by choosing to points on it. Since we already have the point (0, 2), we just need one more.
For example, the point (-4, -1) can be used. The slope can be found by ((y-y)/(x-x)) in which the first y and x values correspond with the first point and that of the second correspond with the second set. So in this case, m = (2-(-1))/(0-(-4)) = 3/4
Plugging in the calculated m and b value in the slope intercept equation, we get y = (3/4)x + 2
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The question already has all the information's that are required for getting to the solution. It is important to minutely look at all the details provided.
Actual price of the item = $14.74
Percentage of sales tax that needs to be added = 4%
Then
Amount of sales tax that needs to be added = (4/100) * 14.74 dollars
= 58.96/100 dollars
= 0.5896 dollars
= 0.59 dollars
Then
The cost of the item including sales tax = (14.74 + 0.59) dollars
= 15.33 dollars
From the above deduction we can easily conclude that the correct option among all the options given in the question is option "B".