Select the equation of the line that passes through the point (2, 6) and is perpendicular to the line x = 4.

Question

anonymous · Answer

The line x = 4 has an undefined slope. Basically, this line is absolutely vertical on a Cartesian grid. So if we're looking for a another line perpendicular to x = 4, we'll have to use a horizontal line (a line with a slope of m = 0 on a Cartesian grid.)

First, let's draw out the point-slope format:
$$y = mx + b$$
Next, we plug in our point (2, 6).
$$6 = m \left( 2 \right) + b$$
$$6 = 0\left( 2 \right) + b$$
$$6 = b$$

And since we're looking for a horizontal line, we're left with:
$$y = 6$$

anonymous · Answer

thank

anonymous · Answer

can you help me with one more please @Cardinal_Carlo

anonymous · Answer

Sure, just ask away.

anonymous · Answer

Oh, but close this question first.

anonymous · Answer

Choose the equation of the vertical line passing through the point (−2, 3).

anonymous · Answer

@Cardinal_Carlo