what goes through points (-2,-1) and (-3,5)
To find the equation of the line that passes through the points (-2, -1) and (-3, 5), we can use the slope-intercept form of a line, which is given by:
y = mx + b
where m is the slope of the line and b is the y-intercept.
First, let's find the slope (m) of the line using the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates of the given points:
m = (5 - (-1)) / (-3 - (-2))
m = 6 / (-1)
m = -6
Now, we have the slope (m = -6). Let's substitute one of the points, for example, (-2, -1), into the equation to find the y-intercept (b):
-1 = -6*(-2) + b
-1 = 12 + b
b = -1 - 12
b = -13
Therefore, the equation of the line passing through the points (-2, -1) and (-3, 5) is:
y = -6x - 13