Question

Given point (-6, -3) and a slope of 4, write an equation in point-slope form. a. y - 3 = 4(x - 6) c. y + 3 = 4(x + 6) b. y + 3 = 4(x - 6) d. y - 3 = 4(x + 6) Please select the best answer from the choices provided A B C D

Answer 1

`\huge{\boxed{y+3=4(x+6)}}`

Point-slope form is
`y-y_1=m(x-x_1)`, where
`m` is the slope and
`(x_1, y_1)` is a known point on the line.

Substitute in the values.
`y-(-3)=4(x-(-6))`

Simplify the negative subtraction.
`\boxed{y+3=4(x+6)}`

Answer 2

For this case we have that by definition, the point-slope equation of a line is given by:

`y-y_ {0} = m (x-x_ {0})`

We have as data that:

`(x_ {0}, y_ {0}): (- 6, -3)\\m = 4`

Substituting in the equation we have:

`y - (- 3) = 4 (x - (- 6))\\y + 3 = 4 (x + 6)`

Finally, the equation is:
`y + 3 = 4 (x + 6)`

Answer:

`y + 3 = 4 (x + 6)`