Slope (m) = y2-y1/x2-x1m= -3- (-5)/-7 - (-3)m= 2/-4m= -1/2now using the y-intercept slope formula, replace the x and y with one of the given pair- doesn't matter which one-to find the b:y=mx+bm= -1/2y=-1/2x+b(-7,-3) => y= -3, x= -7 therefore:-3=1/2(-7) +b-3 = -7/2 +bb= -3 +-7/2b= -3-7/2 => b=-13/2Now that we have the m and b we can write the equation by using the y-intercept slope formula:y=-1/2x-13/2Hope it helps,Kamel