The curve $$$y=x^{2}-2 x+1$$$ is drawn on a grid. A line is drawn on the same grid. The points of intersection of the line and the curve are used to solve the equation $$$x^{2}-7 x+5=0$$$. Find the equation of the line in the form $$$y=m x+c$$$. $$\[ y=.................. \]$$

Mathematics

IGCSE&ALevel

CAIE

Exam No：0580_s20_qp_21 Year：2020 Question No：20

Answer:

$[y=] 5 x-4$

Knowledge points:

E2.5.1 Derive and solve linear equations in one unknown

E2.5.2 Derive and solve simultaneous linear equations in two unknowns.

E2.5.3 Derive and solve simultaneous equations, involving one linear and one quadratic.

E2.5.4 Derive and solve quadratic equations by factorisation, completing the square and by use of the formula.

E2.5.5 Derive and solve linear inequalities. (Including representing and interpreting inequalities on a number line.) (Interpretation of results may be required.)

Solution:

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The curve $$\(y=x^{2}-2 x+1\)$$ is drawn on a grid. A line is drawn on the same grid. The points of intersection of the line and the curve are used to solve the equation $$\(x^{2}-7 x+5=0\)$$. Find the equation of the line in the form $$\(y=m x+c\)$$. $$\[ y=.................. \]$$

Answer:

Knowledge points:

Solution:

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