Question

Find the x-intercept and the y-intercept of the graph of by + ax = c.

Answer 1

Answer:

The x-intercept and the y-intercept of the graph of by + ax = c is $\frac{c}{a} \text { and } \frac{c}{b}$ 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.

$\text { Then by }+a(0)=c \rightarrow \text { by }=c \rightarrow y=\frac{c}{b}$

So, the y – intercept value is  $\frac{c}{b}$

Now, x – intercept in x value when line meets x – axis

And y becomes 0 when line meets x – axis.

$\text { Then } b(0)+a x=c \rightarrow a x=c \rightarrow x=\frac{c}{a}$

So, the x – intercept value is $\frac{c}{a}$

Hence, the x – intercept and y – intercept of line is $\frac{c}{a} and \frac{c}{b}$