Question

13- Which equation shows the relationship between the x- and y-values in the table to the right?

x y
2 4
4 6
6 8
7 9
10 12

Answer 1

y = x + 2

Explanation:

Lets consider two points P(x₁ = 2, y₁ = 4) and Q(x₂ = 4, y₂ = 6)

we have m =
`(y_2 - y_1)/(x_2-x_1)`

`m = (6-4)/(4-2) \\\\m = (2)/(2)`

m = 1

Equation of like:

y = mx + c

for point P(2,4)

4 = 1(2) + c

4 - 2 = c

c = 2

Therefore eq of line :

y = mx + c

y = x + 2