Question

X = 2,4,6 8,10,12,14 Y = 1,6,11,16,21,26,31 Part 1: Determine the slope of the line. Show the work you did to find the slope. (3 points)

Answer 1

The slope of the line with points X and Y is calculated using the formula (Y2 - Y1) / (X2 - X1), using points (2,1) and (14,31) to obtain a slope of 2.5.

Step-by-step explanation:

To determine the slope of the line given two sets of points X and Y, we use the formula for the slope of a line, which is rise over run, or (Y2 - Y1) / (X2 - X1). To illustrate this, let's choose two points from the given sets. We'll pick the first and last points, (2,1) and (14,31), for calculation.

Let X1 = 2 and

Y1 = 1 for the first point.

Let X2 = 14 and

Y2 = 31 for the second point.

Substitute these values into the slope formula:

Slope (m) = (Y2 - Y1) / (X2 - X1)

= (31 - 1) / (14 - 2)

= 30 / 12

= 2.5.

Therefore, the slope of the line is 2.5, indicating that for every increase of 1 on the x-axis, the value on the y-axis rises by 2.5. The slope is consistent across the entire straight line.