Answer :
Answer:
The equation is y = x - 10.
Step-by-step explanation:
Firstly, you have to find the gradient using the formula :
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
Let (x1,y1) = (-10,-20)
Let (x2,y2) = (1,-9)
[tex]m = \frac{ - 9 - ( - 20)}{1 - ( - 10)} [/tex]
[tex]m = \frac{ - 9 + 20}{1 - 10} [/tex]
[tex]m = \frac{11}{11}[/tex]
[tex]m = 1[/tex]
Next substitute first coordinate into y - y1 = m(x - x1) :
[tex]y - y1 = m(x - x1)[/tex]
Let y1 = -20,
Let x1 = -10,
[tex]y - ( - 20) = 1(x - ( - 10))[/tex]
[tex]y + 20 = 1(x + 10)[/tex]
[tex]y + 20 = x + 10[/tex]
[tex]y = x + 10 - 20[/tex]
[tex]y = x - 10[/tex]