Choose two coordinates. I will choose the ones you chose, (-2, -3) and (0, 1).
Find the slope first using the slope equation: [tex]\frac{y2-y1}{x2-x1}[/tex]
y2 is 1, y1 is -3, x2 is 0, and x1 is -2.
[tex]\frac{1-(-3)}{0-(-2)}[/tex]
[tex]\frac{1+3}{0+2}[/tex]
[tex]\frac{4}{2}[/tex]
m = [tex]2[/tex]
The slope is 2.
Now that we found out the slope, we can start to assemble our equation. The m in the equation y = mx + b stands for the slope.
Now the equation is: y = 2x + b.
We need to figure out the y-intercept next. The b in the equation stands for the y-intercept. Choose one coordinate. I will chose (0, 1). x = 0 and y = 1. Substitute 0 in for x and 1 into y.
y = 2x + b
1 = 2(0) + b
1 = 0 + b
1 = b
Now we know what b is. Plug in 1 for b in the equation.
y = 2x + 1
I hope this helps! Let me know if I got something wrong and I'll fix it.
