Question

How do you find the slope and y intercept of `y = 5/4x + 17/2`?

Answer 1

Slope: `5/4`
y-intercept: `17/2`

Explanation:

The equation is written in the form `y=mx+c` where `m` is the slope, and `c` is the y-intercept.

`m=5/4`

`c=17/2`

Answer 2

See a solution process below:

Explanation:

This equation is in slope-intercept form. The slope-intercept form of a linear equation is: `y = color(red)(m)x + color(blue)(b)`

Where `color(red)(m)` is the slope and `color(blue)(b)` is the y-intercept value.

`y = color(red)(5/4)x + color(blue)(17/2)`

Therefore:

• The slope of the line is: `color(red)(m = 5/4)`

• The `y`-intercept is: `color(blue)(b = 17/2)` or `(0, color(blue)(17/2))`