Question

1. Write the equation in slope intercept form for the line that is perpendicular to the line passing through

Answer 1

Answer:

y=2x-9

Step-by-step explanation:

First, find the slope of the original line.

The slope ends up as 1/2. Then, take the opposite and plug into a point-slope equaion using the opposite slope (2/1) and the point the new line will pass through (2,-5). Simplify and graph.

Answer 2

Answer:

The answer to your question is  y = 2/5 x - 29/5

Step-by-step explanation:

Data

Points of the first line

A (-6, 2)

B (-4, -3)

Points of the second line

C (2, 5)

Process

1.- Find the slope of the first line

$m = \frac{y2 - y1}{x2 - x1}$

$m = \frac{-3 - 2}{-4 + 6} = \frac{-5}{2}$

Original line

          y - 2 = -5/2 (x + 6)

          y = -5/2 x - 15 + 2

          y = -5/2 x - 13

2.- Find the slope of the new line, if the lines are perpendicular,

     m = $\frac{2}{5}$

3.- Find the equation of the line

     y - y1 = m(x - x1)

Substitution

    y + 5 = 2/5(x - 2)

Simplification and result

    y = 2/5x - 4/5 - 5

    y = 2/5 x - 4/5 - 25/5

    y = 2/5 x - 29/5