Question

What is the slope of a line that is parallel to the graph of 5x+4y=6 text ? I DON'T NEED AN EXPLANATION JUST THE ANSWER QUICK

Answer 1

Given: The equation below

`5x+4y=6`

To Determine: The slope of the line that is parallel to the graph of the given equation

Solution

Please note that two lines are parallel if their slopes are equal. Therefore, a line that is parallel to the given equation would have the same slope to the given

The slope can calculated as shown below

`\begin{gathered} Slope-intercept\text{ form of a line is} \\ y=mx+c \\ m=slope \\ c=intercept\text{ on y-axis} \\ So, \\ 5x+4y=6 \\ 4y=6-5x \\ (4y)/(4)=(6)/(4)-(5x)/(4) \\ y=(3)/(2)-(5)/(4)x \\ y=-(5)/(4)x+(3)/(2) \\ Hence,slope\text{ is} \\ m=-(5)/(4) \end{gathered}`

Hence, the slope of a line parallel to the graph of 5x + 4y = 6 is - 5/4