Question

Given the linear equation Ax+By=8,it's x intercept is (8,0) and y-intercept is (0,8). What are the values of a and b

Answer 1

Answer:

A=1, B=1

Step-by-step explanation:

Equation of the line in intercept form

The intercept form of the equation of a line is:

$\displaystyle \frac{x}{h}+\frac{y}{k}=1$

Where:

h = x-intercept

k = y-intercept

We are given the y-intercept (0,8) and x-intercept (8,0), thus the equation is:

$\displaystyle \frac{x}{8}+\frac{y}{8}=1$

Multiplying by 8:

x + y = 8

Thus, the values of A and B are:

A=1, B=1