Find the slope of the line.
A line is shown on a coordinate graph. The line passes through the points with coordinates 2 comma negative 3 and coordinates 4 comma 4.
(1 point)
Responses
–two-sevenths
– Image with alt text: two-sevenths
–start fraction 7 over 2 end fraction
– Image with alt text: start fraction 7 over 2 end fraction
two-sevenths
Image with alt text: two-sevenths
start fraction 7 over 2 end fraction
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:
slope = (y2 - y1) / (x2 - x1)
In this case, the coordinates of the two points are (2, -3) and (4, 4). Plugging these values into the formula, we get:
slope = (4 - (-3)) / (4 - 2)
= 7 / 2
Therefore, the slope of the line is 7/2.