A line contains the points (-3, 6) and (2, 1). What is the slope of the line?!

3 answers

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 points are (-3, 6) and (2, 1), so we can substitute their coordinates into the formula:

slope = (1 - 6) / (2 - (-3))
= -5 / 5
= -1

Therefore, the slope of the line is -1.
The equation of a line is y = -2x - 4. What is the y intercept?
The equation of a line in slope-intercept form is given by y = mx + b, where m represents the slope and b represents the y-intercept.

Comparing the given equation y = -2x - 4 with the slope-intercept form, we can see that the slope is -2 and the y-intercept is -4.

Therefore, the y-intercept of the line is -4.