Question

Find the slope of -5x+4Y=-16

Answer 1

Given parameters:

Find the slope of the line;

-5x + 4y = -16

To find the slope of this line, we must express it in linear form according to the equation below;

y = mx + c

Where x and y are the coordinates

m is the slope

c is the intercept

Now let us write the given equation in this form;

-5x + 4y = -16

Take add +5x to both sides;

-5x + 4y + 5x = 5x - 16

4y = 5x - 16

Now, divide through by 4;

`(4y)/(4)` =
`(5x)/(4)` -
`(16)/(4)`

y =
`(5x)/(4) - 4`

So the slope of the line is
`(5)/(4)`