What is the equation of the line with slope # m= -4/7 # that passes through # (3/4,9/7) #? Algebra Forms of Linear Equations Write an Equation Given the Slope and a Point 1 Answer sankarankalyanam Jul 5, 2018 #color(maroon)(16x + 49y = 75# Explanation: #y - y_1 = m * (x - x_1)# #(x_1, y_1) = (3/4, 9/7), " Slope " m = -4/7# #y - 9/7 = -(4/7) * (x - 3/4)# #(7y - 9 ) / cancel7 = -(4/7) *(4x - 3) / cancel7# #49y - 63 = -16x + 12# #color(maroon)(16x + 49y = 75# 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 2156 views around the world You can reuse this answer Creative Commons License