Hi,

Using the point-slope formula, 

(-7, -6) and (-4, -8)

 m = [-8 -(-6)]  / [-4 - (-7)]  = -2/3

Using 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 = (-2/3)x + b Using ordered pair Pt(-4,-8) to solve for b

-8 = (-2/3)*(-4)  + b

-24/3 - 8/3 = b

 -32/3 = b

y = (-2/3)x  - 32/3



 

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