Find the equation of a line in slope-intercept form parallel to y=-3 passing through the coordinate (2, 6)

Question

Find the equation of a line in slope-intercept form parallel to y=-3 passing through the coordinate (2,6)

Answer 1

(y-6)/(x-2)= -3= slope = difference in y values (y-6) divided by difference in x values (x-2)

y-6 = -3(x-2) in point slope form

expand right side

y-6= -3x+ 6

add 6 to both sides

y-6+6= -3x+6+6

y= -3x+ 12 in slope intercept form

where y intercept = 12 and slope =-3