Answer:
y = 3x - 19.
Explanation:
To find the slope and y-intercept of the line passing through the points (7,2) and (9,8), we can use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.First, we need to find the slope m:m = (y2 - y1) / (x2 - x1)
m = (8 - 2) / (9 - 7)
m = 6 / 2
m = 3So the slope of the line passing through the points (7,2) and (9,8) is 3.Next, we can use one of the points and the slope to find the y-intercept b:y = mx + b
2 = 3(7) + b
2 = 21 + b
b = -19So the y-intercept of the line is -19.Finally, we can write the equation of the line using the slope and y-intercept:y = mx + b
y = 3x - 19Therefore, the equation of the line passing through the points (7,2) and (9,8) is y = 3x - 19.