I got this answer by first using the slope formula, which would result into [tex] \frac{0 - 4}{6 - 0} \\ [/tex]for which the answer would be - ⅔ Then, the y-intercept could be found easily, since you already have it., which is (0,4). Since the format for all linear equations are y=mx+b , in which b means the y-intercept and m means the slope. So then, if you substitute - ⅔ for m and 4 for b , you would get
[tex]y = - \frac{2}{3} x + 4 \\ [/tex]