Find the equation by finding the slope, which is the difference in Y divided by the difference in x. In this equation that’ll look like this — 4-(-8) divided by (-2)-(-4). Which will then turn out to look like this — 12/2. Any negative number being subtracted is essentially just addition, for example 4-(-8) is equal to 4+8. That leaves us with the slope of 6. We then plug in the slope into the slope intercept form, y=Mx+b where m=the slope, which was 6 for this equation. That leaves us with y=6x+b. We find B, or the y intercept by plugging in one of the points given to us in the question. Imma use (-2,4.) The x value would equal -2 and the y value would be 4. That makes the equation as we plug in the two points as follows — 4=6(-2)+B.
We solve that by:
4=6(-2)+B
Using multiplication we get
4=(-12)+B
And adding 12 to both sides leaving B alone on the right side
16=B.
Making the equation be y=6x+16
You should check if this is correct for (-4,-8) as well but I don’t want to as I’m wasting too much time. But to find the value of n we plug -2 into the equation.
-2 is the y-value, and n is the x-value.
-2=6n+16
We subtract 16 on both sides leaving us with 6n on one side.
-18=6n
We divide both sides by 6 to leave one side with only n
-3=n
AND WE FINALLY GOT THE ANSWERRRR.
-3=n!!!!
