Answer:
y = (-2/3)x + 5
Explanation:
To write the equation of a line, we need to find its slope and y-intercept using the given points.
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by:slope = (y2 - y1) / (x2 - x1)
Using the points (-3,7) and (9,-1), we can find the slope as:slope = (-1 - 7) / (9 - (-3))
= -8 / 12
= -2/3
Now that we have the slope, we can use the point-slope form of the equation of a line to find the y-intercept. The point-slope form of the equation of a line passing through a point (x1, y1) with slope m is:y - y1 = m(x - x1)
Using the point (-3,7) and the slope we just found (-2/3), we get:y - 7 = (-2/3)(x - (-3))
Simplifying this equation, we get:y - 7 = (-2/3)x - 2
y = (-2/3)x + 5