A line contains the points (-3, 6) and (2, 1). What is the slope of the line?!
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.
To find the slope of a line given two points, you can use the formula:
slope = (y2 - y1) / (x2 - x1)
In this case, the coordinates of the two points are (-3, 6) and (2, 1). Substituting these values into the formula, we get:
slope = (1 - 6) / (2 - (-3))
Simplifying further:
slope = (-5) / (2 + 3)
slope = (-5) / 5
slope = -1
Therefore, the slope of the line is -1.
To find the slope of a line given two points, you can use the formula:
slope = (y2 - y1) / (x2 - x1)
In this case, (-3, 6) corresponds to (x1, y1) and (2, 1) corresponds to (x2, y2).
Plugging in the values:
slope = (1 - 6) / (2 - (-3))
= (-5) / (2 + 3)
= (-5) / 5
= -1
Therefore, the slope of the line passing through the points (-3, 6) and (2, 1) is -1.