Question 380258
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Hi,
Using the point-slope formula, {{{m =(y[2] - y[1])/(x[2] - x[1])}}} to determine the slope
Pts: (5, -3) and (-2, -8)
m = -8 -(-3) / -2-5  = -5/-7 = 5/7
m = 5/7 is the slope of the line
the standard slope-intercept form for an equation of a line y = mx + b  
where m is the slope and b the y-intercept
y = 5/7)x + b using ordered pair Pt(-2,-8) to solve for b
-8 = -10/7 + b
-46/7 = b  
y = (5/7)x - 46/7
{{{drawing(300,300, -10,10,-10,10,
 grid(1),
circle(-2, -8,0.4),
circle(0, -46/7,0.4),
graph( 300, 300, -10,10,-10,10,(5/7)x - 46/7))}}}