Find the coordinates of the points where the line representing the equation $straight x over 4 equals 1 minus y over 6$ cuts the x-axis and the y-axis.

Solution

straight x over 4 equals 1 minus y over 6

for intersection with x-axis, put y = 0

therefore space space space x over 4 equals 1 space space rightwards double arrow space x space space equals space 4

Hence the point of intersection with x-axis is (4, 0).
For intersection with y-axis, put x = 0
$therefore space space space space space 1 minus straight y over 6 equals 0 space rightwards double arrow space straight y over 6 equals 1 space space rightwards double arrow space space space space straight y space equals space 6$
Hence the point of intersection with y-axis is (0, 6).

Some More Questions From Introduction to Euclid's Geometry Chapter

Express the following statement as a linear equation in two variables by taking present ages (in years) of father and son as x and y, respectively. Age of father 5 years ago was two years more than 7 times the age of his son at that time.

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Introduction To Euclid's Geometry

Find the coordinates of the points where the line representing the equation $straight x over 4 equals 1 minus y over 6$ cuts the x-axis and the y-axis.

Some More Questions From Introduction to Euclid's Geometry Chapter

Express the following statement as a linear equation in two variables by taking present ages (in years) of father and son as x and y, respectively. Age of father 5 years ago was two years more than 7 times the age of his son at that time.

Write the equation 2x = y in the form ax + by + c = 0 and find the values of a, b, c in the equation. How many solution this equation has?

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For Daily Free Study Material Join wiredfaculty

Introduction To Euclid's Geometry

Find the coordinates of the points where the line representing the equation cuts the x-axis and the y-axis.

Some More Questions From Introduction to Euclid's Geometry Chapter

Express the following statement as a linear equation in two variables by taking present ages (in years) of father and son as x and y, respectively. Age of father 5 years ago was two years more than 7 times the age of his son at that time.

Write the equation 2x = y in the form ax + by + c = 0 and find the values of a, b, c in the equation. How many solution this equation has?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Find the coordinates of the points where the line representing the equation $straight x over 4 equals 1 minus y over 6$ cuts the x-axis and the y-axis.