A line cuts the y-axis at and the x-axis at

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

Problem

A line

L_1

cuts the y-axis at

(0,5)

and the x-axis at

(-5,0)

. Another line

L_2

passes through the point

(1,4)

and is perpendicular to

L_1

. (i) Find the slope of

L_1

. (ii) Hence, determine the slope of

L_2

. (iii) Obtain the equation of

L_2

in slope–intercept form. (iv) Rewrite the same equation in point–slope form using the point

(1,4)

. (v) Calculate the points where

L_2

meets the x-axis and the y-axis.