What is the equation of the line with slope m= -2/7 that passes through (3/4,-1/7) ? Algebra Forms of Linear Equations Write an Equation Given the Slope and a Point 1 Answer moutar · Noah G Jan 10, 2016 4x+14y=1 Explanation: Use the formula y-y_1=m(x-x_1) where m is the gradient and (x_1,y_1) is any point on the line and you get: y + 1/7 = -2/7(x-3/4) 7y+1=-2(x-3/4) 7y+1=-2x+3/2 14y+2=-4x+3 4x+14y=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 2689 views around the world You can reuse this answer Creative Commons License