Question

Write an equation in slope intercept form that goes through (-1,6) and (3,-2)

Answer 1

Answer:

First, we need to use slope formula* to find the slope.

$m = \frac{-2 - 6}{3 - (-1)} = \frac{-8}{4} = -2$

Second, we use the slope we found and ONE of the 2 points listed and plug it into slope-intercept form** to solve for b.

Here is what we have so far:

• $m = -2$

I'm going to use this point:

• $x = 3$

• $y = -2$

Here is how to find b:

$-2 = -2(3) + b\\\\-2 = -6 + b\\\\4 = b$

Finally, we put all of it together and we have our equation.

$y = -2x + b$

*Slope formula: m = y₂ - y₁/x₂ - x₁

**Slope-intercept form: y = mx + b