In Which of the following case , A Straight line slope will be upward given linear equation is Y = a+bX.
Question
In Which of the following case , A Straight line slope will be upward given linear equation is Y = a+bX.
Solution
The slope of a straight line in a linear equation Y = a + bX will be upward when the coefficient b is positive.
Here's the step by step explanation:
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In the linear equation Y = a + bX, 'b' is the slope of the line.
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The slope of a line is a measure of how steep the line is.
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If 'b' is positive, the line will slope upwards as we move from left to right on the graph. This is because for every increase in X, Y increases (since we're adding a positive number to Y).
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If 'b' is negative, the line will slope downwards as we move from left to right on the graph. This is because for every increase in X, Y decreases (since we're adding a negative number to Y).
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If 'b' is zero, the line is horizontal. This is because no matter what value X takes, Y always remains the same (since we're adding zero to Y).
So, in the case of the linear equation Y = a + bX, the slope of the line will be upward if 'b' is positive.
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