How do you write the equation of the line that passes through (1, 3) and (4, 4) in standard form?

Question

4726 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-13T02:34:09

#y = (x/3) + (8/3)#

#"Known two points on a line, we can write the equation of the line as under "#

#(y-y_1) / (y_2-y_1) = (x-x_1) / (x_2 - x_1)#

#"Given : (x_1,y_1) = (1,3), (x_2, y_2) = (4,4)#

#(y - 3) / (4-3) = (x-1) / (4-1)#

#(y-3) = (x-1)/3#

#3y - 9 = x - 1#

#3y = x -1 + 9 = x + 8#

#y = (x/3) + (8/3)#

#"It's in the form ", y = mx + c' " where"#

#"Slope " m = 1/3, "y-intercept " = 8/3#