Question

question 9 (1 point)
(01.04 lc)
write the equation of a line that goes through point (0, - 8) and has a slope of 0.

a. x = 8
b. x = 0
c. y = - 8
d. y = 0

Explanation:

Step1: Recall point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$, where $(x_1,y_1)$ is a point on the line and $m$ is the slope. Here, $x_1 = 0$, $y_1=- 8$ and $m = 0$.

Step2: Substitute values

Substitute the values into the point - slope form: $y-(-8)=0(x - 0)$.

Step3: Simplify the equation

$y + 8=0$, so $y=-8$.

Answer:

C. $y = - 8$