Question

Which linear equation best describes the relationship between x and y?

Answer 1

B

Explanation:

Since the relationship is linear then the 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 ) = (5, - 1) and (x₂, y₂ ) = (10, 1) ← 2 ordered pairs from the table

m =
`(1+1)/(10-5)` =
`(2)/(5)`

The point (0, - 3 ) indicates c = - 3 , then

y =
`(2)/(5)` x - 3 ( multiply through by 5 to clear the fraction )

5y = 2x - 15 ( subtract 2x from both sides )

5y - 2x = - 15 → B