Question

Find the point at which the line f(x)=2x+10 intersects the line g(x)=−3x−5 .

Answer 1

9514 1404 393

Answer:

  (x, y) = (-3, 4)

Step-by-step explanation:

A graphing calculator answers this question quickly. The point of intersection is (-3, 4).

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The lines intersect where f(x) = g(x).

  2x +10 = -3x -5

  5x = -15 . . . . . . . . add 3x-10

  x = -3 . . . . . . divide by 5

  f(-3) = 2(-3) +10 = 4 . . . . . find the y-coordinate

The point is (-3, 4).