Question

Find an equation of the line passing through the pair of points (0,0) and

Choose the correct answer below.
OA.
15x+7y=0
B. 7x + 15y = 0
O C. -7x+15y = 0
OD. 15x+7y=0
7'15
Write the equation in the form Ax+By = C.

Answer 1

B

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = ( -
`(1)/(7)` ,
`(1)/(15)` )

m =
`((1)/(15)-0 )/(-(1)/(7)-0 )` =
`((1)/(15) )/(-(1)/(7) )` =
`(1)/(15)` × -
`(7)/(1)` = -
`(7)/(15)`

since the line passes through the origin , then c = 0

y = -
`(7)/(15)` x ( multiply both sides by 15 to clear the fraction )

15y = - 7x ( add 7x to both sides )

7x + 15y = 0 ← in the form Ax + By = C