What is the equation of a line that has a slope of #3# and goes through #(2,5)#? Algebra Forms of Linear Equations Write an Equation Given the Slope and a Point 1 Answer mizoo Mar 3, 2018 #y = 3x - 1# Explanation: #"equation of a line when the slope is m and it passes through (a, b):"# #y - b = m(x - a)# #"in your case m = 3 and (a, b) is (2, 5):"# #y - 5 = 3(x - 2)# #y = 3x - 1# 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 6258 views around the world You can reuse this answer Creative Commons License