Determine the points of intersection of the line y = -2x + 7 and the parabola y = 2x2 + 3x - 5.

The points of intersection lie at (1.5, 4) and (-4, 15)

Step-by-step explanation:

Our first step is to equate the two formulas to find where their x-values are the same

-2x + 7 = 2x² + 3x -5        move everything to one side to equate to 0

0 = 2x² + 5x - 12               Use the quadratic formula to solve for x

0 = (-5 ± √(5² - 4(2 * -12))) / 2(2)

0 = (-5 ± 11) / 4

x = 1.5, x = -4

test both x values into both equations

(1.5, 4) (-4, 15)

15 units use socratic

step-by-step explanation: 15 units