What is the equation of the line that passes through (-3,-1) and has a slope of 2/5 ? Algebra Graphs of Linear Equations and Functions Slope-Intercept Form 1 Answer NJ Apr 16, 2018 Answer: #=>y = 2/5x + 1/5# Explanation: Point-slope equation of a line: #=> y_1 - y = m(x_1 - x)# Now we solve for #y#: #=> -1 - y = (2/5)(-3-x)# #=>-1-y = -6/5 -2/5x# #=> -y = -1/5 - 2/5x# #=> y = 1/5 + 2/5 x # #=> color(blue)(y = 2/5x + 1/5 )# 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 950 views around the world You can reuse this answer Creative Commons License