Question

for some real number A, the graph of the line Y=(A+1)x+8 in the standard (x,y) coordinate plane passes through (2,6). What is the slope of this line?​

Answer 1

-1

Explanation:

The given equation has a y-intercept of 8, so goes through the point (0, 8).

If the line also goes through the point (2, 6) it has a slope of ...

(y2 -y1)/(x2 -x1) = (6 -8)/(2 -0) = -2/2 = -1

The slope of the line is -1.

_____

The value of A is -2.