Question

(2,4) slope = 4 fine the slope intercept

Answer 1

Given:

A line passes throught the point (2,4).

The slope of the line is, m = 4.

The objective is to find the equation of line in slope-intercept form.

Step-by-step explanation:

Consider the given point as.

`(x_1,y_1)=(2,4)`

The general formula to find the equation in slope intercept form is,

`y-y_1=m(x-x_1)\text{ . . . . . .(1)}`

To find the equation:

Now, substitute the given values in equation (1).

`\begin{gathered} y-4=4(x-2) \\ y-4=4x-8 \end{gathered}`

On further solving the above equation,

`\begin{gathered} y=4x-8+4 \\ y=4x-4 \end{gathered}`

Hence, the slope intercept form of the line is y = 4x-4.