Question

I need help with my math

Answer 1

Step 1: Pick any two points

The points are represented as (x1,y1), (x2,y2).

where x1= -4, y1= -8, x2= 0, y2= 4

Step 2: Write out the formula of the equation to use

`(y-y_1)/(x-x_1)=\text{ }(y_2-y_1)/(x_2-x_1)`

Step 3: Substituting the values and to get the equation

`\begin{gathered} \frac{y-(-8)_{}}{x-(-4)}=\text{ }(4-(-8))/(0-(-4)) \\ (y+8)/(x+4)=(4+8)/(0+4) \\ (y+8)/(x+4)=\text{ }(12)/(4) \end{gathered}`
`\begin{gathered} (y+8)/(x+4)=\text{ 3} \\ \text{Cross multiply} \\ y+8=\text{ 3(x+4)} \\ y+8=\text{ 3x+12} \\ \text{Collect like terms} \\ y=\text{ 3x+12-8} \\ y=\text{ 3x + 4} \end{gathered}`

The equation that represents the graph is y= 3x+4.

Option A is the correct answer.