Question

Y=6x/5 +27 find y-intercept and slope

Answer 1

1. General equation of a line is given by y = mx +c, where m is the gradient /slope, c is the intercept. To find for the intercept on y- axis, put x = 0.
2. 
   `y = (6(0))/(5 ) + 27 \\ y = (0)/(5) + 27 \\ y = 27 \\ therefore \: the \: intercept \: on \: y \: is \: 27 \\`
3. By comparison,
4. 
   `y = mx + \: c \\ y = (6)/(5) x \: +27 \\ m = (6)/(5 \: ) \: \\ hence \: slope \: is \: (6)/(5)`