1
Question
Write the function that relates the relation between x and y.
Write the function that relates the relation between x and y.
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Solution
The correct option is B y=−2x−2
Let's create the input output table uisng the points in the given graph:
x
0
1
2
y
-2
-4
-6
On analyzing the graph, we can say that it represents a linear equation as it is a line with a y-intercept.
In general equation of a straight line passing thtough 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
=−6 − (−4)2 − 1
=−2
Value of y-intercept = -2
∴ The equation of the line will be
y=−2x−2
Let's create the input output table uisng the points in the given graph:
| x | 0 | 1 | 2 |
| y | -2 | -4 | -6 |
On analyzing the graph, we can say that it represents a linear equation as it is a line with a y-intercept.
In general equation of a straight line passing thtough 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
=−6 − (−4)2 − 1
=−2
Value of y-intercept = -2
∴ The equation of the line will be
y=−2x−2
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