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On a math test, Larissa was asked to find the points where the equations y = x2+ x – 4 & y = -2x + 6 intersect.

Larissa’s solution is shown below.

Larissa checks her answer and realizes she has made a mistake. On which line did Larissa make her mistake?

Explain Larissa's mistake using 1-3 complete sentences.

Her mistake is on line 2, setting the equations equal to each other.

Step-by-step explanation:

It appears that she misunderstood the requirements of  question: find the intersections of the graphs of the two equations. The first one is a quadratic equation, (mentally picture that as a parabola). The second equation is linear. (Mentally picture that as a straight line with a slope of -2) They should have 2 points of intersection. When she combined them, she created a new quadratic equation and solved to "find the zeroes" where the parabola intersects the x-axis.

the answer is (-8,-5)

step-by-step explanation:

the endpoint to midpoint is half the length. the length is (-2,-1) so when you are at the midpoint just add it to it to find your answer -6+(-2)= -8 and -4+(-1)=-5 so (-8,-5)