The slope between two points (x1,y1)&(x2,y2) is: m=y2−y1x2−x1 => thus in this case the slope between (4,4)&(−4,−2) is: m=−2−4−4−4=−6−8=34
using point slope formula: y−y1=m(x−x1), we get: y−4=34(x−4), expand and simplify: y=(34)x+1 => equation in slope-intercept form