Previously we have discussed about elimination method calculator and In our today’s session we are going to discuss about the intercept form of the line. Before explaining the intercept form we first define intercept. Intercept is known as the point of intersection of the line on the axes (x-axis and y-axis). Mathematically the equation of a line which intercepts on x-axis at point (a, 0) and on y-axis at (0, b) can be represent as x/a +y/b = 1. This equation can be obtained by two point form also.
Let us solve Intercepts problem.
Find the equation of a line which intercept on x-axis at 5 and on y-axis at 3.
The line intercepts on x-axis at 5 and on y-axis at 3. By substituting the value of the intercepts on the intercept form as a=5 and b= 3. We get x/5 +y/3 =1. On further solving we will get 3x + 5y = 15.
Let us take another example on intercept form of the line. Convert the equation of the line 3x + 6y = 12 in intercept form. (want to Learn more about Intercepts, click here),
For converting the equation of the line 3x + 6y = 12 in intercept form divide the equation by 12 so that we get 3x/12 +6y/12 = 1. It implies that x/4 +y/2= 1 . It is the perfect equation of the line in the intercepts form. The equation we get is intercepting on x-axis at (4,0) and y-axis at (0,2).
Let us solve another example: convert the equation 2(x+2) = 3(y+3) in intercept form. For solving we first simplify the equation so that we get 2x – 3y = 5. Further dividing the equation we get 2x/5 – 3y/5 =1. This is the intercept form of the line having intercept on x-axis at (5/2, 0) and y-axis at (0,-5/3). In The Next Session We Are Going To Discuss Polar Equations of Lines.