Question

What is the equation of the line with slope `m=4` that passes through `(4,5)`?

Answer 1

`y=4x-11`

Explanation:

Equation of a straight line in slope-intercept form is given by the expression
`y=mx+c`,
where `m` is the slope and `c` is the `y-`intercept.
To calculate `c` we need to plug in given values in the above equation:
`5=4xx4+c`
solving for `c` we obtain
`c=-11`

The required equation is

`y=4x-11`