Question

14. What is the slope and y-intercept of the equation 5(y + 3) + 6(x - 3) - 2 = 0?

Answer 1

Explanation:

`5(y + 3) + 6(x - 3) - 2 = 0 \\ \\ 5y + 15 + 6x - 18 - 2 = 0 \\ \\ 5y + 6x + 15 - 20 = 0 \\ \\ 5y + 6x - 5 = 0 \\ \\ 5y = - 6x + 5 \\ \\ y = - (6)/(5) x+ (5)/(5) \\ \\ y = - (6)/(5) x+ 1 \\ equating \: it \: with \\ y = mx + c \\ \\ slope \: (m) = - (6)/(5) \\ \\ y - intercept \:( c )= 1`