Answer:
y= -2x+18
Step-by-step explanation:
1. The secant line is a line that passes through 2 points in the function.
2. Determine the y values for x=-6 and x=3 by plugging the x values into the x^2 + x function. This yields 30 for x=-6 and 12 for x=3.
3. Find the slope by calculating the rise over the run, represented by the equation (y2 - y1)/(x2-x1). Plugging in the numbers we get (12-30) divided by (3 -(-6)). This gives you a slope equation of -18/9 (subtracting a negative yields a positive), which simplifies to -2.
4. Now that you have your slope m, apply it backwards from x=3 (x=2 yields 14 for y, 1 yields 16, 0 yields 18). Once you arrive at x=0, the y value is your y-intercept.
5. Put the y-intercept b into the equation y= mx+b, and you come out with y= -2x + 18!
