In this case, we have function, and we want to make it look like y = mx+b. So, we are going to do a bit of rearranging. I’ll go step-by-step, let me know if its at all tricky:
7y + 42 = -14x
First, I’d like to get y all by itself on the left side of the equals sign. So, I will subtract 42 from each side:
7y = -14x – 42.
I have 7y on the left side instead of just y by itself. So, I will divide both sides by 7. Remember to do this to BOTH terms on the right side:
7y/7 = -14x/7 – 42/7
y = -2x – 6
Now we have it in slope intercept form. Based on this, we know the slope of the line is -2, and the y-intercept is -6. Does this make sense? Let me know if you have any other question.
I hoped this help :)