Question

The line that passes through (-2, 4) and is parallel to x - 2y = 6

Answer 1

so you can get the slope of x-2y=6 with -a/b so the slop is -1/-2 or 1/2
parallel lines have the same slope so we will use this slope with point-slope form
y-y1=m(x-x1) substitute the values the point is (-2,4) (x1,y1)
y-4=1/2(x+2) distribute
y-4=1/2x+1 add 4 to both sides
y=1/2x+5 this is the line in slope-intercept form

Answer 2

^what she said :D