1
Question
The given graph shows a relation between the number of games won (y) by each player having a particular age (x).
The equation of the line is
The given graph shows a relation between the number of games won (y) by each player having a particular age (x).
The equation of the line is
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Solution
The correct option is C y=−0.5x+15
Let's create the input output table using the given graph.
Time (in mins)
0
10
20
30
Number of items left in the cart
15
10
5
0
On analyzing the graph, we can say that it represents a linear equation as it is a line with a y-intercept.
Equation of a straight line passing through y-axis is given by "y = mx + c" where "m" is slope and "c" is y-intercept.
We know that slope of a line (m) is
=Change in yChange in x
=5 − 1020 − 10
=−510
=−0.5
Value of y-intercept = 15
∴ The equation of the line will be
y = -0.5x + 15
Let's create the input output table using the given graph.
| Time (in mins) | 0 | 10 | 20 | 30 |
| Number of items left in the cart | 15 | 10 | 5 | 0 |
On analyzing the graph, we can say that it represents a linear equation as it is a line with a y-intercept.
Equation of a straight line passing through y-axis is given by "y = mx + c" where "m" is slope and "c" is y-intercept.
We know that slope of a line (m) is
=Change in yChange in x
=5 − 1020 − 10
=−510
=−0.5
Value of y-intercept = 15
∴ The equation of the line will be
y = -0.5x + 15
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The equation of the graph showing the relationship between the number of goals (y) scored by a player over years (x) is given by y = 30x.Join BYJU'S Learning Program
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