Answer: y=−2/5x+5
Explanation:
To find the equation of the line passing through the points (-5, 7) and (5, 3), you can use the slope-intercept form of a line, which is given by:
y = mx + b
where:
- m - is the slope of the line,
- b - is the y-intercept (the y-coordinate where the line intersects the y-axis).
m = 3 - 7 / 5 - (-5) = -4 / 10 = -2/5
m = -2/5
7 = (-2/5) * ( -5 ) + b
7 = 2/5 * 5 + b
7 = 2 + b
b = 5
Now putting everything together y = -2/5x + 5