Question

Help math math ASAP pelsss

Answer 1

`\displaystyle y = 3x - 6`

Step-by-step explanation:

First, find the rate of change of the line:

`\displaystyle (-y_1 + y_2)/(-x_1 + x_2) = m \\ \\ (-3 + 12)/(-3 + 6) = m \hookrightarrow (9)/(3) = m \\ \\ \boxed{3 = m}`

_______________________________________________

Now plug all the information into the Slope-Intercept Formula. It does not matter which ordered pair is chosen:

`\displaystyle 12 = 3[6] + b \hookrightarrow 12 = 18 + b; -6 = b \\ \\ \boxed{\boxed{y = 3x - 6}} \\ \\ OR \\ \\ 3 = 3[3] + b \hookrightarrow 3 = 9 + b; -6 = b \\ \\ \boxed{\boxed{y = 3x - 6}}`

I am joyous to assist you at any time.

Answer 2

y = 3x - 6

Explanation:

What you do is you plug both points in for the equation 2 times and solve as a system of equations.

Equation of a line: y = mx + b

(x,y) = (3,3)

(x,y) = (6,12)

3 = 3m + b

12 = 6m + b

Subtract equations to get rid of b to solve for m.

12 - 3 = 6m - 3m + b - b

9 = 3m

m = 3

Plug m back into both equations get b.

3 = 3(3) + b

b = -6

12 = 6(3) + b

b = -6

y = 3x - 6