Question

Find the x and y intercept from the equation of the line x-3y=21

Answer 1

Given

The equation of a line is defined as:

`x\text{ - 3y = 21}`

The x-intercept is the point where y is zero.

When y =0:

`\begin{gathered} x\text{ - 3(0) = 21} \\ x\text{ =21} \end{gathered}`

x-intercept: (21, 0)

The y-intercept is the point where x is zero:

When x = 0:

`\begin{gathered} 0\text{ - 3y = 21} \\ -3y\text{ = 21} \\ \text{Divide both sides by -3} \\ y=\text{ }(21)/(-3) \\ y\text{ = -7} \end{gathered}`

y-intercept : (0, -7)

Answer:

x-intercept: (21, 0)

y-intercept : (0, -7)