[tex]sin\alpha=0.6\\sin^2\alpha+cos^2\alpha=1\\0,36+cos^2\alpha=1\\cos^2\alpha=0,64\\cos\alpha=0,8\\\\tg\alpha=\frac{sin\alpha}{cos\alpha}=\frac{0.6}{0.8}=0.75=\frac34\\tg\alpha=\frac{y}{x}\\\frac34=\frac{y}4\\y=3\\\\A=(4, 0)\\B=(0, 3)\\\\\left \{ {{0=4a+b} \atop {3=b}} \right. \\0=4a+3\\-4a=3 /:(-4)\\a=-\frac34\\y=-\frac34x+3[/tex]
