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)(a,b) and (c,d)(c,d) is (y-b)(c-a)=(x-a)(d-b)(y−b)(c−a)=(x−a)(d−b) so here that's 5(y-7)=-3(x+3)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=y2x+5=y? What is the slope and y intercept of y=xy=x? What is the slope and y intercept of y=3.75y=3.75? How do you write 7+\frac{3}{5} x=y7+35x=y in slope intercept form? How do you write -5x+12=20−5x+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 1461 views around the world You can reuse this answer Creative Commons License