Determine the equation...

Determine the equation of the line with a slope m= -3 and having the same y-intercept as the line 2x - 3y = 6.

And...

Determine the equation of the line passing through (-5, 6) and is parallel to the x-axis.

For the first problem, the equation 2x-3y=6 has a y intercept of -2 (set x=0). The equation of a line is y=mx+b. We know m=-3 and b=-2 (because they have the same y intercept). So just plug in the values. y=-3x-2

For the second problem, when two lines are parallel they have the same slope. The slope of the x axis is 0. So the equation of the line would be y=6