Y-intercept

Find the y-intercept of the graph (-3,-3), (4,3), (8,3). The x-intercept is 1/2.

Correct answer:

y =  -0.4286

Step-by-step explanation:

A=(−3,−3) B=(4,3) C=(8,3)  y=f(x)=k⋅ x+q  Ay​=k⋅ Ax​+q By​=k⋅ Bx​+q (−3)=k⋅ (−3)+q 3=k⋅ 4+q  3k−q=3 4k+q=3  Pivot:Row1↔Row2 4k+q=3 3k−q=3  Row2−43​⋅ Row1→Row2 4k+q=3 −1.75q=0.75  q=−1.750.75​=−0.42857143 k=43−q​=43+0.42857143​=0.85714286  k=76​≐0.857143 q=7−3​≐−0.428571  f(x)=x+0=x  f∩x:  0=k⋅ x1​+q 0=0.85714285714286⋅ x1​+(−0.42857142857143)  0.857143x1​=0.428571  x1​=0.857142860.42857143​=0.5  x1​=21​=0.5  f∩y: y=f(0) y=k⋅ 0+q=0.8571⋅ 0+(−0.4286)=−0.4286

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