Question

How do you find the slope and y intercept for `y=3-5/4x`?

Answer 1

`m = -5/4`
`B = 3`

Explanation:

The slope is the value that multiplies the variable. We know the formula `m = (Deltay)/(Deltax)`

By using the generic function `y = ax + b` we can show that a is always the slope.

`m = (y_f - y_i)/(x_f - x_i)`
`m = (ax_f + b - ax_i -b)/(x_f - x_i)`
`m = (a(x_f - x_i) +b -b)/(x_f - x_i)`
`m = a*cancel(x_f - x_i)/cancel(x_f-x_i)`
`m = a`

So, when we apply it to this function, we see that `m = -5/4`

The y-intercept is simply the value of the function when `x = 0`, and is always the value without a variable. We can show it by using the generic function.

`B = ax + b`
`B = a*0 + b`
`B = b`

So, for this function, the y-intercept is 3.