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

Sagot :

it would be y=4x-14.

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.

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