What is the equation of a line through the point (1,3) that has a slope of 2? Algebra Forms of Linear Equations Write an Equation Given the Slope and a Point 1 Answer angus b. · Ujjwal Mar 22, 2018 #y = 2x + 1# Explanation: Well if the slope is the gradient you have the formula #y - y_1 = m(x - x_1)# so the equation of the line becomes: #y - 3 = 2(x - 1)# #=>y - 3 = 2x - 2# #y = 2 x + 1# (in #y = m x + b# form) or #2x - y +1 = 0# (#ax + by + c # form) 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 30756 views around the world You can reuse this answer Creative Commons License