Answer:
y = -2x + 2
Step-by-step explanation:
An equation of a line can be found in slope-intercept form, y = mx + b, where m is the slope of the line and b is the y-intercept. To find the slope (m), you can use the formula:
m = (y2 - y1) / (x2 - x1)
Where (x1, y1) and (x2, y2) are the coordinates of the two points. Substituting the values from the given points, we get:
m = (-4 - (-2)) / (3 - 2) = -2 / 1 = -2
Next, to find the y-intercept (b), we can use either one of the given points and the slope to substitute in the equation y = mx + b. For example, using the point (2, -2), we get:
-2 = -2 * 2 + b
Solving for b, we get:
b = -2 + 4 = 2
So, the equation of the line in slope-intercept form is:
y = -2x + 2