HW1 Item 13 : 130f 14 View Available Hint(s) Learning Goal To understand how to
ID: 1661114 • Letter: H
Question
HW1 Item 13 : 130f 14 View Available Hint(s) Learning Goal To understand how to find the equation for a line using the slope- point and two-points techniques Many equations in physics express linear relationships between two quantities, meaning that a graph of the two quantities would be a line. If you walk at constant speed, your position is linearly related to time. The graph of your position at various times might look like the graph in the figure. (Figure 1) Submit If you see that points on a plot have a linear relationship, you can then use a straight edge to draw in the line. From your graph, you can predict what other points lie on the line. However, usually the equation for the line will give you more accurate predictions. Then, you can find the values for other points on the line by putting numbers into the equation. Part D Now, find the equation for a line that passes through the two points (-1,3) and (4,-5) Express your answer in terms of Z. The "y-" has been given for you. View Available Hint(s) Figure 1 of 1 Submit XIncorrect; Try Again; 5 attempts remaining Part E This question will be shown after you complete previous question(s). Provide Feedback Next>Explanation / Answer
D)
x1 = - 1 , y1 = 3
x2 = 4 , y2 = - 5
slope is given as
m = (y2 - y1)/(x2 - x1) = (- 5 - 3)/(4 - (-1)) = -1.6
equation is given as
y - y1 = m (x - x1)
y - 3 = (- 1.6) (x - (-1))
y - 3 = - 1.6 x - 1.6
y = -1.6 x + 1.4
C)
m = 1.50
equation is given as
y - y1 = m (x - x1)
y - 3 = (1.5) (x - 0)
y = 1.5 x + 3
general equation is : y = mx + b
hence b = 3
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