Respuesta :
Answer:
The x-intercept and the y-intercept of the graph of by + ax = c is [tex]\frac{c}{a} \text { and } \frac{c}{b}[/tex] respectively
Solution:
Given, line equation is by + ax = c.
We have to find the y – intercept and x – intercept for the above given line equation.
Now, we know that, y – intercept is y value when line meets y – axis.
And x becomes 0 when line meets y – axis.
[tex]\text { Then by }+a(0)=c \rightarrow \text { by }=c \rightarrow y=\frac{c}{b}[/tex]
So, the y – intercept value is [tex]\frac{c}{b}[/tex]
Now, x – intercept in x value when line meets x – axis
And y becomes 0 when line meets x – axis.
[tex]\text { Then } b(0)+a x=c \rightarrow a x=c \rightarrow x=\frac{c}{a}[/tex]
So, the x – intercept value is [tex]\frac{c}{a}[/tex]
Hence, the x – intercept and y – intercept of line is [tex]\frac{c}{a} and \frac{c}{b}[/tex]
