Question

Write a linear equation in the form y=mx+b

Table: x l y
3 l -9
4 l -11
5 l -13
6 l -15
9 l -21

I hope that this makes sense! Please help of possible!

Answer 1

y = -2x - 3

When I put this into y2-y1/x2-x1 (equation to find slope) I did the coordinate pairs (3,-9) and (4,-11). When you plug it in it’s -11+9/4-3. This gets you -2/1, which is -2. That’s your slope. Then, in order to get the y-intercept, you can use any of those pairs. I did -9 = 3(-2) + b. -9=-6 + b and in the end this gets you -3 = b. So the full equation is y = -2x - 3.