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.
Explanation:
Consider the given point as.
[tex](x_1,y_1)=(2,4)[/tex]The general formula to find the equation in slope intercept form is,
[tex]y-y_1=m(x-x_1)\text{ . . . . . .(1)}[/tex]To find the equation:
Now, substitute the given values in equation (1).
[tex]\begin{gathered} y-4=4(x-2) \\ y-4=4x-8 \end{gathered}[/tex]On further solving the above equation,
[tex]\begin{gathered} y=4x-8+4 \\ y=4x-4 \end{gathered}[/tex]Hence, the slope intercept form of the line is y = 4x-4.
