Question

Triangle XYZ is shown on the coordinate grid. The coordinates of each vertex of the triangle are integers.

Answer 1

The slope of line segment XZ in triangle XYZ is: -1/3.

What is the Slope of a Line Segment?

Given a line segment on a coordinate plane, we can find the slope of the line by using two points on the line to find the ratio of change in y / change in x = (y2 - y1)/(x2 - x1).

The coordinates of the two points of line segment XZ in triangle XYZ are:

• X(1, 5) = (x1, y1)
• Z(7, 3) = (x2, y2)

Plug the values into the formula used for finding the slope of a line:

Slope of line segment XZ = change in y / change in x = (5 - 3)/(1 - 7)

Slope of line segment XZ = 2/-6

Slope of line segment XZ = -1/3

Learn more about slope on:

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