Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept (0, b)
[tex]1.\ \text{Slope is}\ -2\to m=-2,\ \text{y-intercept is}\ -6\to b=-6\\\\\boxed{y=-2x-6}\\\\2.\ \text{Slope is}\ \dfrac{3}{7}\to m=\dfrac{3}{7},\ \text{y-intercept is}\ -1\to b=-1\\\\\boxed{y=\dfrac{3}{7}x-1}\\\\3.\ m=-8,\ b=11\\\\\boxed{y=-8x+11}\\\\4.\ m=0,\ b=-5\\\\\boxed{y=0x-5\to y=-5}\\\\5.\ m=-11,\ \text{y-intercept is}\ (0,\ 13)\to b=13\\\\\boxed{y=-11x+13}[/tex]
