A straight line intersects the y-axis at the point and passes through the point on…

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

Problem

A straight line intersects the y-axis at the point (0,−3)(0,-3) and passes through the point (2,5)(2,5) on the Cartesian plane. (i) Find the slope of the line. (ii) Obtain the equation of the line in slope–intercept form. (iii) Rewrite the same equation in point–slope form using the point (2,5)(2,5). (iv) Determine the coordinates of the point where this line meets the x-axis.

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