<h3>
Answer:</h3>
- slope = 1/2
- equation: y = 1/2x +5
<h3>
Step-by-step explanation:</h3>
Slope
The slope of the line between two points (x1, y1) and (x2, y2) is ...
... m = (y2 -y1)/(x2 -x1)
For your given points, the slope is
... m = (4 -9)/(-2 -8) = -5/-10
... m = 1/2
Equation
The point-slope form of the equation for a line can be written ...
... y = m(x -h) +k . . . . for a line of slope m through point (h, k)
Using the first point given and the slope just calculated, the equation for the line can be written ...
... y = (1/2)(x -8) +9
... y = (1/2)x -4 +9 . . . . eliminate parentheses; next, collect terms
... y = 1/2x +5
