What is the equation of the line with slope # m= -3/7 # that passes through # (12,-5) #? Algebra Forms of Linear Equations Write an Equation Given the Slope and a Point 1 Answer Özgür Özer Dec 13, 2015 #color(white)(x)y=-3/7x-1/7# Explanation: #color(white)(x)y=mx+c# #=>y=color(red)(-3/7)xxx+c# For #x=12# and #y=-5#, #color(white)(x)-5=(-3/7)xx12+c# #=>-5=-(3xx12)/7+c# #=>c=5-(3xx12)/7# #=>c=-1/7# Quation is: #=>y=-3/7x-1/7# 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 1421 views around the world You can reuse this answer Creative Commons License