Question

Rewrite the following linear equation in slope-intercept form. Write your answer with no spaces. y+2=4(x-3)

Answer 1

It would be y=4x-14.

Answer 2

Answer:  The required slope-intercept form of the given linear equation is

$y=4x-14.$

Step-by-step explanation:  We are given to write the following linear equation in slope-intercept form :

$y+2=4(x-3)~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We know that

the slope-intercept form of a straight line is written as

$y=mx+c,$

where 'm' is the slope and 'c' is the y-intercept of the line.

From equation (i), we have

$y+2=4(x-3)\\\\\Rightarrow y+2=4x-12\\\\\Rightarrow y=4x-12-2\\\\\Rightarrow y=4x-14.$

Thus, the required slope-intercept form of the given linear equation is

$y=4x-14,$ where slope, m = 4 and y-intercept, c = -14.