How do I write an equation of a line passing through

Question

asked Aug 15, 2023 65.0k views

1 Answer

Vetri · Answer 1 · 2023-08-20T17:59:00+0000

Answer:

The equation is:

Step-by-step explanation:

Given the point (2, 3), and the equation:

y - 4 = -2(x + 3) .............................................(1)

$\begin{gathered} y=-2x-6+4 \\ =-2x-2 \end{gathered}$

Comparing with the equation of a line:

$y_{}=mx+b$

where m is the slope, and b is the y-intercept

The slope in (1) is -2

Note that perpendicular lines have their slopes as negative reciprocals of each other.

The negative reciprocal of -2 is 1/2

The equation of a line perpendicular to (1) is:

Applying the given point (2, 3), we have x = 2, y = 3

$\begin{gathered} 3=(1)/(2)(2)+b \\ \\ b=3-1=2 \end{gathered}$

The equation is therefore;