Question

Write an equation in standard form of the horizontal line and the vertical line that pass through the point. $$(-3,7)$$

Short answer

The standard form of the horizontal line passing through (-3,7) is \(y=7\) and that of the vertical line is \(x=-3\).

Step-by-step solution

Find the equation of the horizontal line

In a horizontal line, the y-coordinate stays the same. Since our point is (-3,7), the y-coordinate is 7. Replace 'k' with 7. Hence the equation of the horizontal line passing through (-3,7) is \(y=7\).

Find the equation of the vertical line

In a vertical line, the x-coordinate stays the same. Since our point is (-3,7), the x-coordinate is -3. Replace 'h' with -3. Hence, the equation of the vertical line passing through (-3,7) is \(x=-3\).