Answer:
[tex]\boxed {\boxed {\sf y=3x+12}}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation is:
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept.
Let's evaluate each answer choice. The one in slope-intercept form will have the y variable isolated on one side of the equation.
- A. 2x+3y=21: This is not is slope-intercept form. The y is not isolated.
- B. y-7=3(x+4): Again, this isn't slope-intercept form. A 7 is being subtracted from y
- C. y²=3x²-6: This also isn't correct. y is being squared.
- D. y=3x+12: This choice is correct. The y is all alone on the left side of the equation.
The equation in slope-intercept form is D. y=3x+12
