Hello,
To find the equation that defines a line that passes through the points (-2, 7) and (6, -9) can be found by using the slope formula.
Slope formula is: [tex] \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} } [/tex].
First, substitute two ordered pairs (in this case (-2, 7) and (6, -9)) into the slope formula to get a slope of -2. Then, we need to find the y-intercept.
y = -2x + b (b is the y-intercept)
Then, substitute an ordered pair into the equation above to find the y-intercept.
We can use (-2, 7) for now.
7 = -2(-2) + b
7 = 4 + b
-4 -4
b = 3
y = -2x + 3
Your final equation is y = -2x + 3. Hopefully this helps! :)
