Question

What is the gradient and y axis intercept of `y = 5x + 6`?

Answer 1

See a solution process below:

Explanation:

The equation in the problem 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)x + color(blue)(6)`

Therefore the slope is: `color(red)(m = 5)`

Answer 2

`m=5`

Explanation:

The equation the line is written in the form `y=mx+b` where `m` is the slope. With that being said the slope of the line in these equation is `5`.

Another way to think about it is that the slope is the leading coefficient in the equation or it is the number in front of the variable `x`.

Answer 3

5

Explanation:

When the equation of a line is in the form:

`y = mx + c`

`m` is the gradient (slope).

`c` is the `y` axis intercept.

so in the example `m = 5` and `c = 6`