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Given the pairs ( (x) -21, -64, -15 ) and ( (y) -48, -9, -32 ), what is the x-intercept of the line?

a) ( -3 )
b) ( 3 )
c) ( -5 )
d) ( 5 )

User Azeem
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1 Answer

4 votes

Final answer:

To find the x-intercept, you need an equation of the line, y = mx + b, and set y to zero. The question lacks enough information to determine the x-intercept, as it does not include an equation or method for obtaining one from the given pairs of (x, y) values.

Step-by-step explanation:

To find the x-intercept of a line, we must determine the point at which the line crosses the x-axis. This occurs when the y-value is zero. Given pairs of x and y values, we can write coordinates as (x, y). For example, combining -21 from the x-values and -48 from the y-values gives us the coordinate (-21, -48). We repeat this for the remaining values obtaining (-64, -9) and (-15, -32).

However, to find the x-intercept, we need an equation of the line. The information provided does not include an equation, and thus we cannot determine the x-intercept directly from the given pairs. A method to find the x-intercept is to plot the points, find the slope (m), use the slope to write an equation of the form y = mx + b, and set y to zero to solve for x. Since this information is not provided, we cannot answer the student's question regarding the x-intercept.

User Hoang Phan
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