Question

plz help i really need to get this right

Answer 1

Answer:

y = 2x

Step-by-step 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

Answer 2

Answer:

y = 2x

Step-by-step explanation:

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

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

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

Substitute:

$m=\dfrac{84-28}{42-14}=\dfrac{56}{28}=2$

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:

$y=2x+0=2x$