Respuesta :
-2 the slope is the a value ( in this case 2) in the formula y=ax+b. The value before the x is the slope. So for every x value you increase you go down by 2
Answer: The slope of the given line is -2.
Step-by-step explanation: We are given to find the slope of the line described by the following equation :
[tex]y-9=-2(x-8)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We know that
the slope-intercept form of a straight line is given by
[tex]y=mx+c,[/tex] where m is the slope of the line.
From equation (i), we have
[tex]y-9=-2(x-8)\\\\\Rightarrow y-9=-2x+16\\\\\Rightarrow y=-2x+16+9\\\\\Rightarrow y=-2x+25.[/tex]
Comparing with the slope-intercept form, we get
slope, m = -2.
Thus, the slope of the given line is -2.
