Answer:
The equation is y = -2x + 6.
Step-by-step explanation:
Given that the slope-form equation is y = mx + b and the gradient is -2. So you have to find the value of b by substituting the coordinates into the equation :
[tex]y = mx + b[/tex]
[tex]let \: m = - 2,x = 4,y = - 2[/tex]
[tex] - 2 = - 2(4) + b[/tex]
[tex] - 2 = - 8 + b[/tex]
[tex]b = 6[/tex]
[tex]y = - 2x + 6[/tex]
