Question

hose answer is an equation of a straight line, leave answers iless otherwise directed. slope of each line. (b) 6x + 10 = 8 (d) 2y = 8 - 3x (f) 2x = 11 ng lines and

Answer 1

1.

(b)

The slope-intercept form of a line is given by:

`\begin{gathered} y=mx+b \\ where\colon \\ m=slope \\ b=y-intercept_{}_{} \end{gathered}`

So:

`\begin{gathered} 6x+10y=8 \\ solve_{\text{ }}for_{\text{ }}y\colon \\ 10y=8-6x \\ y=(8-6x)/(10) \\ y=(8)/(10)-(6x)/(10) \\ y=(4)/(5)-(3)/(5)x \end{gathered}`

From the equation, we can conclude:

`\begin{gathered} b=(4)/(5) \\ m=slope=-(3)/(5) \end{gathered}`