Rewrite the following linear equation in slope-intercept form. Write your answer with no spaces.

[tex]y + 2 = 4(x - 3)[/tex]

it would be y=4x-14.

Answered by electricheart | 2024-06-10

**Answer: The required slope-intercept form of the given linear equation is **
y = 4 x − 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 = m x + 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 ) ⇒ y + 2 = 4 x − 12 ⇒ y = 4 x − 12 − 2 ⇒ y = 4 x − 14.
**Thus, the required slope-intercept form of the given linear equation is **
y = 4 x − 14 , where slope, m = 4 and y-intercept, c = -14.

Answered by ColinJacobus | 2024-06-30

The linear equation y + 2 = 4 ( x − 3 ) can be rewritten in slope-intercept form as y = 4 x − 14 . The slope is 4 and the y-intercept is -14. This gives us a clear representation of the line's behavior on a graph.
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Answered by ColinJacobus | 2024-08-08