How do you write an equation of a line given (-3, 7) and (2,4)? Algebra Graphs of Linear Equations and Functions Slope-Intercept Form 1 Answer Dean R. Apr 19, 2018 In general the line through #(a,b)# and #(c,d)# is #(y-b)(c-a)=(x-a)(d-b)# so here that's #5(y-7)=-3(x+3)#. Answer link Related questions What is Slope-Intercept Form? How do you find the "m" and "b" of any linear equation? How do you determine the slope and y intercept when given a graph? Why is slope "rise over run"? How do you find the slope and y intercept of #2x+5=y#? What is the slope and y intercept of #y=x#? What is the slope and y intercept of #y=3.75#? How do you write #7+\frac{3}{5} x=y# in slope intercept form? How do you write #-5x+12=20# in slope intercept form? How do you write an equation in standard form for a line that goes through (5, –2) and (–5, 4)? See all questions in Slope-Intercept Form Impact of this question 1286 views around the world You can reuse this answer Creative Commons License