Which equation is in slop-intercept form? A. 2x+3y=21 B. y-7=3(x+4) C. Y^(2)=3x^(2)-6 D. Y=3X+12

Question

Which equation is in slop-intercept form?

A. 2x+3y=21
B. y-7=3(x+4)
C.
`Y^(2)`=3
`x^(2)`-6
D. Y=3X+12

Answer 1

Explanation:

Only D, y = 3x + 12 is in slope-intercept form.

Answer 2

`\boxed {\boxed {\sf y=3x+12}}`

Explanation:

The slope-intercept form of an equation is:

`y=mx+b`

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