Question

Question #e37db

Answer 1

`3/4`

Explanation:

To find the slope we must solve the equation for `y`

We add `3x` to both sides:

`cancel(-3x+3x)+4y=10+3x -> 4y=3x+10`

Divide `4` on both sides:

`cancel(4/4)y=(3x+10)/4`

`y=color(green)(3/4)x+5/2`

Since the equation of a line is `y=mx+b` where `m` is the slope, the slope in this example is `3/4`

Answer 2

`3/4`

Explanation:

We first solve the equation for `y`:

`4y=3x+10` (add `3x` to both sides)
`y=(3x+10)/4` (divide both sides by `4`)
`y=3/4x+5/2` (since `(a+b)/c=a/c+b/c`)

Now, for a linear equation, the slope is the number coefficient of `x`, which in this case is `3/4`.