Question

QUICK PLEASE !!!!!

Answer 1

Answer:

y = 3x + 3

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:

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

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From the table we have :

x = 1 → y = 6

x = 2 → y = 9

x = 3 → y = 12

x = 4 → y = 15

Calculate the slope (choice any two pairs, and calculate the slope):

(1, 6), (2, 9)

$m=\dfrac{9-6}{2-1}=\dfrac{3}{1}=3$

We have the equation:

$y=3x+b$

Put the coordinates of the point (1, 6) to the equation, and solve it for b:

$6=3(1)+b$

$6=3+b$              subtract 3 from both sides

$3=b\to b=3$

Finally:

$y=3x+3$