Question 380304
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Hi,
Using the point-slope formula, {{{m =(y[2] - y[1])/(x[2] - x[1])}}} to determine the slope
{{{m =(y[2] - y[1])/(x[2] - x[1])}}}
Points (-2, -3) and (2, -5)
 m = -5 - (-3)  / 2 - (-2) = -2/4 = -(1/2)
the standard slope-intercept form for an equation of a line: y = mx + b  
where m is the slope and b the y-intercept  m = -(1/2)
y = -(1/2)x + b   Using ordered pair pt(2,-5) to solve for b
-5 = -1 = b
-4 = b
y = -(1/2)x -4              pt(0,-4) the y intercept
{{{drawing(300,300, -6, 6, -6, 6, grid(1),
circle(0,-4 ,0.3),
circle(2, -5,0.3),
graph( 300, 300, -6, 6, -6, 6, -(1/2)x -4 ))}}}