Answer:
the equation of the line is: y = -2x + 3
Explanation:
To find the equation of the line that passes through the points (-1, 5) and (2, -1), we can use the slope-intercept form of a line, which is:
y = mx + b
where m is the slope of the line, and b is the y-intercept.
To find the slope, we can use the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
Plugging in the given values, we get:
m = (-1 - 5) / (2 - (-1)) = -6 / 3 = -2
So the slope of the line is -2.
To find the y-intercept, we can plug in one of the points and the slope into the slope-intercept form of the line and solve for b.
Let's use the point (-1, 5):
y = mx + b
5 = (-2)(-1) + b
5 = 2 + b
b = 3
So the y-intercept is 3.
Putting it all together, the equation of the line is:
y = -2x + 3