Question

What is the slope of 4y-15=-3x

Answer 1

slope m = -
`(3)/(4)`

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

4y - 15 = - 3x ( add 15 to both sides )

4y = - 3x + 15 ( divide through by 4 )

`(4)/(4)` y =
`(-3)/(4)` x +
`(15)/(4)` , that is

y = -
`(3)/(4)` x +
`(15)/(4)` ← in slope- intercept form

with slope m = -
`(3)/(4)`

Answer 2

-3/4

Explanation:

To find the slope of the equation
`4y - 15 = -3x`, we need to rewrite the equation in slope-intercept form, which is y= mx + c, where m represents the slope.

Let's rearrange the given equation
`4y - 15 = -3x` to solve for y in terms of x:

`4y = -3x + 15` (Adding 15 to both sides)

`y = -(3x)/(4) + (15)/(4)` (Dividing both sides by 4)

Now, the equation is in the form y = m x + c, where m is the slope.

Comparing this with the standard form, we see that the coefficient of x is
`-(3)/(4)`. Therefore, the slope of the equation 4y - 15 = -3x is
`-(3)/(4)`