Question 379112
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Hi
Using the point-slope formula, {{{m =(y[2] - y[1])/(x[2] - x[1])}}}
(-10,-12) and (-17,-19)
m = -19-(-12) / -17-(-10) = -7/-7 = 1
m = 1
the standard slope-intercept form for an equation of a line y = mx + b  
where m is the slope and b the y-intercept
equatin of this line
y = 1*x + b  using ordered pair(-10,-12) to solve for b
-12 = -10 + b
-2 = b
y = x -2  is the equation of the line
{{{drawing(300,300, -30, 30, -30, 30,  grid(1),
circle(-10, -12,0.8),
circle(-17, -19,0.8),
circle(0, -2,0.8),
circle(2, 0,0.8),
graph( 300, 300,  -30, 30, -30, 30,x -2))}}}