What is the equation of the line with slope # m= -18/49 # that passes through # (3/7, 10/21) #? Algebra Forms of Linear Equations Write an Equation Given the Slope and a Point 1 Answer ali ergin Apr 17, 2016 #y=-18/49x+544/49# Explanation: m=-18/49 #m=(y-10/21)/(x-3/7)# #-18/49=((21y-210)/21)/((7x-21)/7)# #-18/49=(21y-210)/cancel((21))*cancel((7))/(7x-21)# #-18/49=(21y-210)/(3(7x-21))# #-18/49=(21y-210)/(21x-63)# #-18(21x-63)=49(21y-210)# #-378x+1134=1029y-10290# #1029y=-378x+1134+10290# #1029y=-378x+11424# #y=-378/1029x+11424/1029# #y=-18/49x+544/49# Answer link Related questions When writing an equation of a line, if I know more than one point, does it matter which one I choose? How do you write an equation in slope intercept form given a slope and a x-intercept? How do you write an equation in slope intercept form given the slope and a point? How do you write an equation in slope intercept form given a slope and a y-intercept? How do you write an equation of a line in slope intercept form if the line has a slope of 7 and... How do you write an equation of a line in slope intercept form if the line has a slope of 2 and... How do you write an equation of a line in slope intercept form if the line has a slope of #-2/3#... What do the variables "m" and "b" represent? How do you write the equation of a line given the line has a slope of –1 and contains the point... How do you write the equation of a line that passes through (1,1) and has slope 1/4? See all questions in Write an Equation Given the Slope and a Point Impact of this question 1238 views around the world You can reuse this answer Creative Commons License