What is the equation of the following line? Be sure to scroll down first to see
all answer options. (0,0) (-1/2,-3)

y = 6x + 0

Step-by-step explanation:

Equation of a line

y = mx + c

Given

( 0 , 0) ( -1/2 , -3)

find the slope m

m = y2 - y1 / x2 - x1

x1 = 0

y1 = 0

x2 = -1/2

y2 = -3

Insert the values

m = y2 - y1 / x2 - x1

m = -3 - 0 / -1/2 - 0

= -3/-1/2

Minus cancels minus

= 3/1/2

= 3/1 ÷ 1/2

= 3/1 × 2/1

= 6/1

= 6

m = 6

Substitute any of the two points given into the equation of a line

y = mx + c

Where

y - intercept point y

x - intercept point x

m - slope of the line

c - intercept

(-1/2 , -3)

x = -1/2

y = -3

-3 = 6(-1/2) + c

-3 = -6/2 + c

-3 = -3 + c

-3 + 3 = c

c = 0

y = 6x + 0

The equation of the line is

y = 6x + 0

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