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

User Jonathon Oates
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1 Answer

25 votes
25 votes

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Answer:

(x, y) = (-3, 4)

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).

Find the point at which the line f(x)=2x+10 intersects the line g(x)=−3x−5 .-example-1
User Taylor Southwick
by
3.0k points
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