Answer:y = (-3/4)x + 7.5
Step-by-step explanation:To find the equation of the line that passes through the points (-2,9) and (2,6), we can use the slope-intercept form of a line, which is y = mx + b, where m is the slope and b is the y-intercept.
First, we need to find the slope of the line. The slope of a line passing through two points (x1,y1) and (x2,y2) is given by:
m = (y2 - y1) / (x2 - x1)
Substituting the values of the points (-2,9) and (2,6), we get:
m = (6 - 9) / (2 - (-2)) = -3/4
Now that we have the slope, we can use either of the two points to find the y-intercept. Let’s use the point (-2,9):
y = mx + b 9 = (-3/4)(-2) + b b = 7.5
Therefore, the equation of the line that passes through the points (-2,9) and (2,6) is:
y = (-3/4)x + 7.5