Question

Finding slope given the graph of a line on a grid Find the slope of the line graphed below.

Answer 1

The slope of the line connecting point 1 (0, 2) and point 2 (-2, -3) is 5/2.

To find the slope of a line given two points on the graph, you can use the formula:

Slope = (change in y) / (change in x)

In this case, point 1 has coordinates (0, 2) and point 2 has coordinates (-2, -3). To find the slope, we need to calculate the change in y and the change in x between the two points.

Change in y = y2 - y1 = -3 - 2 = -5

Change in x = x2 - x1 = -2 - 0 = -2

Now, we can substitute these values into the slope formula:

Slope = (-5) / (-2)

When we simplify this expression, we get:

Slope = 5/2

Therefore, the slope of the line graphed below, connecting point 1 and point 2, is 5/2.

Answer 2

The formula for determining the slope of a line is expressed as

slope = (y2 - y1)/(x2 - x1)

where

y2 and y1 are initial and final values of the y coordinate of two suitable points chosen on the graph

x2 and x1 are initial and final values of the x coordinate of two suitable points chosen on the graph

Considering the coloured points on the graph,

When x1 = - 3, y1 = - 2

When x2 = 0, y2 = 2

Thus,

Slope = (2 - - 2)/(0 - - 3) = (2 + 2)/(0 + 3)

Slope = 4/3