Answer:
y = -7/8x -2
Step-by-step explanation:
You want the slope-intercept equation of the line through the points (8, -9) and (0, -2).
Slope
The slope of the line through points (x1, y1) and (x2, y2) is given by the formula ...
m = (y2 -y1)/(x2 -x1)
For the given points, the slope of the line is ...
m = (-2 -(-9))/(0 -8) = -7/8
Intercept
The y-intercept of the line is the y-value when x = 0. The point (0, -2) tells you the y-intercept is -2.
Equation
The slope-intercept equation is ...
y = mx +b . . . . . . where m is the slope, and b is the y-intercept
For a slope of -7/8 and a y-intercept of -2, the equation is ...
y = -7/8x -2
