Question

Does anyone know the pattern to this? Does anyone also know the slope to it and where the line intersects at the y-axis and the equation of the line?

Answer 1

see explanation

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 ) = (1, 3) and (x₂, y₂ ) = (3, 7) ← 2 ordered pairs from the table

m =
`(7-3)/(3-1)` =
`(4)/(2)` = 2

The line crosses the y- axis at (0, 1 ) ← from table

Then c = 1

y = 2x + 1 ← equation of line