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 Apr 16, 2018 #color(maroon)("Equation in Standard Form is ") color(indigo)(4x + 7y = 12# Explanation: #color(crimson)("Point - Slope Form " (y - y_1) = m * (x - x_1)# #(x_1, y_1) = (3/4, 9/7), m = -(4/7)# #y - 9/7 = -(4/7) * (x - 3/4)# #(7y - 9) / cancel 7 = -(4x - 3) / cancel 7# #7y + 4x = 9 + 3 = 12# #color(indigo)(4x + 7y = 12# 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 3607 views around the world You can reuse this answer Creative Commons License