What is the equation of the line with slope # m= -5 # that passes through # (73,-23) #? Algebra Forms of Linear Equations Write an Equation Given the Slope and a Point 1 Answer Vikki · Alan P. Nov 29, 2015 #y= -5x +342# Explanation: Using point slope formula #y-y_1=m(x-x_1)# You are given #m=-5# ; #(73, -23) => x_1= 73 ; y_1= -23# #y-(-23)=-5(x-73)# #ycancel(+23)= -5x + 365# #" "cancel(-23)" " " " " " " " -23# #stackrel(" ------------------------------------------")# #=> y= -5x +342# 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 1369 views around the world You can reuse this answer Creative Commons License