Algebra II: Line Equations

Question

Find the equation of the line below it goes up to 6, I need help step by step

Answer 1

y-intercept = 6

x-intercept looks like - 2 1/2 = -2.5

slope = "rise over run" or change in y divided by change in x = 6/2.5 = 12/5

y = mx + b, with m= 12/5 and b = 6

y = 12x/5 + 6 or multiply by 5 to get

5y = 12x + 30

12x - 5y = -30