Question

What is the equation of the following line? Be sure to scroll down first to see

Answer 1

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

$m = \frac{y_2-y_1}{x_2-x_1}$

From given,

$(x_1, y_1) = (0, 0)\\\\(x_2, y_2) = (2, -8)$

Substituting the values we get,

$m = \frac{-8-0}{2-0}\\\\m = -4$

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