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

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

Answer here:

Sagot :

GinnyAnsweridn
To rewrite the linear equation in slope-intercept form [tex]\( y = mx + b \)[/tex], let’s follow these steps:

1. Start with the given linear equation:
[tex]\[ y + 2 = 4(x - 3) \][/tex]

2. Distribute the 4 on the right side of the equation:
[tex]\[ y + 2 = 4x - 12 \][/tex]

3. Isolate [tex]\( y \)[/tex] by subtracting 2 from both sides of the equation:
[tex]\[ y = 4x - 12 - 2 \][/tex]

4. Simplify the equation:
[tex]\[ y = 4x - 14 \][/tex]

Thus, the equation in slope-intercept form is:
[tex]\[ y = 4x - 14 \][/tex]
Wegnerkolmp2741oidn

Answer:

y=4x-14

Step-by-step explanation:

The slope intercept form of the equation of a line is

y = mx+b  where m is the slope and b is the y intercept.

y+2 = 4(x-3)

Distribute the 4.

y+2 = 4x-12

Subtract 2 from each side.

y+2-2 = 4x-12-2

y=4x-14

The slope is 4 and the y intercept is -14.

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