How do you determine the slope and y intercept when given a graph? Algebra Graphs of Linear Equations and Functions Slope-Intercept Form 1 Answer Wataru Oct 29, 2014 The #y#-intercept #b# can be found by reading the #y#-axis where the graph hits the y-axis, and the slope #m# can be found by finding any two distinct points #(x_1,y_1)# and #(x_2,y_2)# on the graph, and using the slope formula below. #m={y_2-y_1}/{x_2-x_1}#. I hope that this was helpful. Answer link Related questions What is Slope-Intercept Form? How do you find the "m" and "b" of any linear equation? 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)? How do you write the equation of the line in slope intercept form passing through (1, 2) and (2, 5)? See all questions in Slope-Intercept Form Impact of this question 28122 views around the world You can reuse this answer Creative Commons License