Question

Find the X-intercept and Y-Intercept of the line. Write your answer as exact values. do not write your answer as order pairs

Answer 1

The equation of the line is given as,

`8x-5y=14`

The intercepts are the points at which the curve intersects the coordinate axes.

The x-intercept of the line will be the value of 'y' at which the x-coordinate becomes zero. This can be calculated as follows,

`\begin{gathered} 8x-5(0)=14 \\ 8x=14 \\ x=(7)/(4) \\ x=1.75 \end{gathered}`

Similarly, the y-intercept is the point at which the line intersects the y-axis. This can be calculated as,

`\begin{gathered} 8(0)-5y=14 \\ -5y=14 \\ y=(-14)/(5) \\ y=-2.8 \end{gathered}`

Thus, the x-intercept and y-intercept are obtained as,

`\begin{gathered} \text{ x-intercept}=1.75 \\ \text{ y-intercept}=-2.8 \end{gathered}`