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Math  /  Geometry

QuestionA horizontal line passes through the points (3,−52)\left(3,-\frac{5}{2}\right) and (7,j)(7, j). What is the value of j?

Studdy Solution

STEP 1

1. The line passing through the points is horizontal.
2. A horizontal line has the same y-coordinate for all points on the line.

STEP 2

1. Understand the properties of a horizontal line.
2. Use the properties to find the value of j j .

STEP 3

Understand the properties of a horizontal line:
A horizontal line has a constant y-coordinate for all points on the line. This means that if a line is horizontal and passes through two points, the y-coordinates of these points must be equal.

STEP 4

Use the properties to find the value of j j :
Since the line is horizontal and passes through the points (3,−52)\left(3,-\frac{5}{2}\right) and (7,j)(7, j), the y-coordinates must be equal. Therefore, we have:
j=−52 j = -\frac{5}{2}
The value of j j is:
−52 \boxed{-\frac{5}{2}}

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