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

$\frac{y-y_1}{x-x_1}=\text{ }\frac{y_2-y_1}{x_2-x_1}$

Step 3: Substituting the values and to get the equation

$\begin{gathered} \frac{y-(-8)_{}}{x-(-4)}=\text{ }\frac{4-(-8)}{0-(-4)} \\ \frac{y+8}{x+4}=\frac{4+8}{0+4} \\ \frac{y+8}{x+4}=\text{ }\frac{12}{4} \end{gathered}$$\begin{gathered} \frac{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.