Question

find the sum of x minus and Y minus intercepts of the line 4 x minus 5 Y is equal to 20​

Answer 1

$\textbf{Given:}$

$\text{Line is 4x-5y=20}$

$\textbf{To find:}$

$\text{Sum of x-intercept and y-intercept}$

$\textbf{Solution:}$

$\text{Consider,}$

$4x-5y=20$

$\text{Divide bothsides by 20}$

$\dfrac{4x}{20}-\dfrac{5y}{20}=1$

$\dfrac{x}{5}-\dfrac{y}{4}=1$

$\dfrac{x}{5}+\dfrac{y}{-4}=1$

$\text{Comparing with \dfrac{x}{a}+\dfrac{y}{b}=1 we get}$

$a=5\;\text{and}\;b=-4$

$\text{Now}$

$\textbf{Sum of the intercepts}$

$=a+b$

$=5+(-4)$

$=1$

$\textbf{Answer:}$

$\textbf{Sum of the intercepts of the given line is 1}$

Find more:

Find the equation of line passing through the point (5,6) and making equal intercept on x & y axis​

https://brainly.in/question/13417461

If the line (x-y+1) + k(y-2k+4) =0 makes equal intercepts on the axes . Then what is the value of k

https://brainly.in/question/16765896

Find equation of line passing through(3,2) & its x-intercept is double of y intercept​

https://brainly.in/question/21772594