Question

Write an equation in the form y=mx+b that represents the x-y table

Answer 1

Choose two coordinates. I will choose the ones you chose, (-2, -3) and (0, 1).

Find the slope first using the slope equation: $\frac{y2-y1}{x2-x1}$

y2 is 1, y1 is -3, x2 is 0, and x1 is -2.

$\frac{1-(-3)}{0-(-2)}$

$\frac{1+3}{0+2}$

$\frac{4}{2}$

m = $2$

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.