Answer:
y= -5x +22
Step-by-step explanation:
Slope-intercept form
y= mx +c, where m is the slope and c is the y-intercept.
[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]
[tex]slope = \frac{2 - ( - 8)}{4 - 6} [/tex]
[tex]m = \frac{2 + 8}{ - 2} [/tex]
[tex]m = \frac{10}{ - 2} [/tex]
[tex] m = - 5[/tex]
y= -5x +c
To find the value of c, substitute a pair of coordinates into the equation.
When x= 4, y= 2,
2= -5(4) +c
2= -20 +c
c= 2 +20
c= 22
Thus, the equation of the line is y= -5x +22.
