Answer :
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]
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]
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.
