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

Find The Xintercept And YIntercept Of The Line Write Your Answer As Exact Values Do Not Write Your Answer As Order Pairs class=

Sagot :

The equation of the line is given as,

[tex]8x-5y=14[/tex]

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,

[tex]\begin{gathered} 8x-5(0)=14 \\ 8x=14 \\ x=\frac{7}{4} \\ x=1.75 \end{gathered}[/tex]

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

[tex]\begin{gathered} 8(0)-5y=14 \\ -5y=14 \\ y=\frac{-14}{5} \\ y=-2.8 \end{gathered}[/tex]

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

[tex]\begin{gathered} \text{ x-intercept}=1.75 \\ \text{ y-intercept}=-2.8 \end{gathered}[/tex]

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