Question

Plz help i really need to get this right

Answer 1

y = 2x

Explanation:

The slope-intercept form of an equation of a line:

`y=mx+b`

m - slope

b - y-intercept

The formula of a slope:

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

From the table we have the points (14, 28) and (42, 84).

Substitute:

`m=(84-28)/(42-14)=(56)/(28)=2`

Put the val;ue of a slope and the coordinates of the point (14, 28) to the equation of a line:

`28=2(14)+b`

`28=28+b` subtract 28 from both sides

`28-28=28-28+b\\\\0=b\to b=0`

Finally we have:

`y=2x+0=2x`

Answer 2

y = 2x

Explanation:

Note the relationship between x and y, that is

x = - 42 → y = - 84 ← that is y = 2x

x = - 14 → y = - 28 ← that is y = 2x

x = 14 → y = 28 ← that is y = 2x

x = 42 → y = 84 ← that is y = 2x

Thus the linear equation is y = 2x