Question

choose the x-intercept and the y-intercept for each equationx+4y=24a (0,4)b (0,6)c (6,0)d (24,0)e (24,6)

Answer 1

Given:

The equation is x + 4y = 24

Required:

Find the x - intercept and y - intercept?

Step-by-step explanation:

We know that

`(x)/(a)+(y)/(b)=1`

Where, a is x - intercept

and b is y - intercept

The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis.

Now,

`\begin{gathered} x+4y=24 \\ (x)/(24)+(y)/(6)=1 \end{gathered}`

From this we can say that x - intercept (24, 0) and y - intercept (0, 6).

Answer:

Hence, (24, 0) and (0, 6) are intercept of given equation.