Answer: The required slope-intercept form of the given linear equation is
[tex]y=4x-14.[/tex]
Step-by-step explanation: We are given to write the following linear equation in slope-intercept form :
[tex]y+2=4(x-3)~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We know that
the slope-intercept form of a straight line is written as
[tex]y=mx+c,[/tex]
where 'm' is the slope and 'c' is the y-intercept of the line.
From equation (i), we have
[tex]y+2=4(x-3)\\\\\Rightarrow y+2=4x-12\\\\\Rightarrow y=4x-12-2\\\\\Rightarrow y=4x-14.[/tex]
Thus, the required slope-intercept form of the given linear equation is
[tex]y=4x-14,[/tex] where slope, m = 4 and y-intercept, c = -14.
