What is the slope of the line through
(2,−2)(2,-2)
(2,−2)
left parenthesis, 2, comma, minus, 2, right parenthesis
and
(9,3)(9,3)
(9,3)
left parenthesis, 9, comma, 3, right parenthesis
?

Slope is 5/7

Step-by-step explanation:

the slope of a line is given by;

m = (y-y1)/(x-x2)

Where;

y represents the coordinate of point 1 on the Y-axis

x represents the coordinate of point 1 on the X-axis

y1 represents the coordinate of point 2 on the Y-axis

x1 represents the coordinate of point 2 on the X-axis

Points on a line are written as the ordered pair (x, y)

We are given point 1 (2, -2) and it corresponds to (x, y)

Point 2 (9, 3) and it corresponds to (x1, y1)

Therefore the slope,

m = (-2-3)/(2-9)

m = -5/-7

m = 5/7

Therefore, the slope of the line through (2,−2) and (9, 3) is 5/7