17arto Matte 2C

Facit: (klicka expandera till höger)

Koefficienter

[math]\displaystyle{ y1 = 4 \lt br\gt }[/math]

[math]\displaystyle{ y2 = -2 \lt br\gt }[/math]

[math]\displaystyle{ x1 = -3 \lt br\gt }[/math]

[math]\displaystyle{ x2 = 5 \lt br\gt }[/math]

Hitta k-värdet

[math]\displaystyle{ k = \frac {y_2 - y_1}{x_2 - x_1} }[/math]

[math]\displaystyle{ k = \frac {-2 - 4}{5 - (-3)} }[/math]

[math]\displaystyle{ k = \frac {-6}{8} = -0.75 }[/math]

Hitta m-värdet

[math]\displaystyle{ y = kx + m }[/math]

[math]\displaystyle{ 4 = -0.75 * -3 + m }[/math]

[math]\displaystyle{ m = 4 - 2.25 }[/math]

[math]\displaystyle{ m = 1.75 }[/math]

Svar

[math]\displaystyle{ f(x) = -0,75x + 1,75 }[/math]