Question

Consider the line y=2/5-4/3x what is the slope of a line parallel to this line?

Answer 1

Note: When two lines are parallel to each other, their slopes are equal.

`\begin{gathered} \text{ Given the line } \\ y=(2)/(5)-(4)/(3)x \\ y=-(4)/(3)x+(2)/(5) \\ \\ \text{The general form of the equation of a straight line} \\ y\text{ = mx + c} \\ \text{where m = slope and c = y- intercept} \\ \\ By\text{ comparing }y=-(4)/(3)x+(2)/(5)\text{ with y = mx + c} \\ m=-(4)/(3) \\ \\ \text{The slope of the line }y=(2)/(5)-(4)/(3)x\text{ is }-(4)/(3) \\ \\ \text{The slope of the line parallel to the line }y=(2)/(5)-(4)/(3)x\text{ is also }-(4)/(3) \end{gathered}`

The answer is -4/3