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

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:

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

Answer 2

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

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. $\boxed{y+3=4(x+6)}$