Question:
What is the equation of the following line? Be sure to scroll down first to see all answer options. ( 0, 0) (2, -8)
Answer:
The equation of line is y = -4x
Solution:
Given points are ( 0, 0) (2, -8)
Find the slope of line
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
From given,
[tex](x_1, y_1) = (0, 0)\\\\(x_2, y_2) = (2, -8)[/tex]
Substituting the values we get,
[tex]m = \frac{-8-0}{2-0}\\\\m = -4[/tex]
The equation of line in slope intercept form is given as:
y = mx + c --------- eqn 1
Where,
m is the slope of line
c is the y intercept
Substitute m = -4 and (x, y) = (0, 0) in eqn 1
0 = -4(0) + c
c = 0
Substitute m = -4 and c = 0 in eqn 1
y = -4x + 0
y = -4x
Thus the equation of line is y = -4x
