The straight line passing through the points and is the graph of a linear polynomial .

MATHEMATICS · Multi-part · CBSE · Mathematics · Straight Lines · Straight Lines

Problem

The straight line passing through the points

(2,4)

and

(6,0)

is the graph of a linear polynomial

y=P(x)

. (i) Using these two points, obtain the equation of the line in the form

y=ax+b

. (ii) Verify that the point

(6,0)

obtained from part (i) is the zero of the polynomial. (iii) Without drawing any additional graph, determine the

y

–intercept of

P(x)

and explain its significance for the graph. (iv) Suppose the line is extended to intersect the

x

–axis again after being reflected in the

y

–axis. Write the coordinate of this new intersection point and justify your answer.