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

Answer:

see explanation

Step-by-step 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 = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (3, 7) ← 2 ordered pairs from the table

m = $\frac{7-3}{3-1}$ = $\frac{4}{2}$ = 2

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

Then c = 1

y = 2x + 1 ← equation of line