Question

Using one coordinate plane, graph the functions y=−4x+1 and y=2x−3, and find the coordinates of the point of intersection. Now find the coordinates of the point of intersection without using the graphs. Compare your two results.

Answer 1

f(x) = -4x + 1

g(x) = 2x - 3

Set each other equal and solve for x.

-4x + 1 = 2x - 3

-6x = -4

x = 2/3

substitute x into either f or g and solve for y

-4(2/3) + 1

y = -1.667...

Intersect at

(.667,-1.667)

Answer 2

The graph of both functions on same coordinate plane attached below.

The intersection point of both function is (0.667, -1.667)

Given functions are  $y=-4x+1$  and $y=2x-3$

After drawing graph of both function on same coordinate plane. It is observed that intersection point of both function is (0.667, -1.667)

Functions are $y=-4x+1$  and $y=2x-3$

Equating both function

   $-4x+1=2x-3\\\\-6x=-4\\\\x=\frac{4}{6}=\frac{2}{3}=0.667$

Substituting value of x in any equation.

  $y=-4(0.667)+1=-2.667+1=-1.667$

Hence, The intersection point of both function is (0.667, -1.667).

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