Hey!
There's two ways we can find the slope intercept form for this equation. Which would be to convert to standard form, or convert to slope intercept form. In this case, I'll be converting the equation to slope intercept form.
Slope Intercept Form Formula :
4y = mx + b
Now, we'll write out our original equation and convert it.
Original Equation :
y + 2 = 3 ( x - 7 )
New Equation {Changed by Conversion} :
y = 3x - 23
From here we can really just spot which number is and that number is 3.
If you want to know how that image is graphed, I attached an image to the answer.
So, the slope of the equation y + 2 = 3 ( x - 7 ) is 3.
Hope this helps!
- Lindsey Frazier ♥