Question

The table below contains a list of ordered pairs.





x y
–2 7
–1 4
0 1
1 –2
2 –5

Answer 1

These points lie on a line with constant change Δy/Δx = (4−7)/(−1+2) = −3, so the slope is −3. The y-intercept is y(0)=1.

Equation: y = −3x + 1.

(Checks: x=−2 → y=7; x=1 → y=−2. The x-intercept is at x = 1/3.)