Question: Please help !!! :) Need help with multiple choice question and the three on the right, thanks
Questions to
1. What is the y intercept of the line?
2.Knowing the y-intercept, can you eliminate any choices? Why?
3. What is the answer? How do you know?
Explanation: In order to answer all of these questions, we have to know the formula for a line, which is y=mx+b, y in the equation means the profit/cost/anything related to something you are trying to solve for. mx in the equation means the slope, the slope means the number, m, which is being multiplied to x. And finally, b means the y-intercept. The y-intercept is a number value that is in the form of (0,x), where x is the y-intercept, the y-intercept will always have a value of 0 in the x coordinate. For more information about y=mx+b, please visit: https://www.purplemath.com/modules/slopyint.htm
Now that we know the formula for a line, we can determine the slope, y-intercept, and y. As you can see from the graph, the y-intercept appears to be 0. This is because the line intersects the y axis at 0. Therefore the first answer to question one is: The y intercept is 0.
Now the second question asks, if you know the y-intercept, can you eliminate any answers? Since we know the y-intercept equals 0, we know that it can't be A or D because they have y-intercepts, which are 120,000 and 100. So your answer to number 2 is : You can eliminate choices A and D because they have a y-intercept but the equation of the line does not have a y-intercept.
Lastly, the final question asks for your answer. To solve for the slope of a line, we have to use a formula to solve for mx. This formula is:
y2-y1/x2-x1. We simply take two points from the line, let's take points:
(100,120,000) and (200,240,000). Next we identify what coordinates are y2,y1,x2,x1. y2=240,000 y1=120,000 x2=200 x1=100
Now we just plug it in the formula.
240,000-120,000/200-100=1200.
The slope of the equation is 1,200c. Now that we have the y-intercept and the slope, we can make the equation of a line in the form of y=mx+b. Since the y-intercept equals 0, we can leave it as a blank. The equation of a line is p=1,200c.
Therefore your answer to number 3 is p=1,200c(B). We know the answer is B because our slope and y-intercept matches B, we determined the slope and y-intercept by using a formula to find slope and using the equation of a line, y=mx+b.
ANSWERS:
1. The y-intercept of the line is 0.
2. You can eliminate choices A and D because they have a y-intercept, but the equation of the line does not have a y-intercept for this problem.
3. We know the answer is B because our slope and y-intercept matches B, we determined the slope and y-intercept by using a formula to find slope and using the equation of a line, y=mx+b.
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