NatiJoaquin
contestada

The given line passes through the points and (4,1).
On a coordinate plane, a line goes through (negative 4, negative 3) and (4,1).
What is the equation, in point-slope form, of the line that is perpendicular to
the given line and passes through the point (-4, 3)?​

The given line passes through the points and 41On a coordinate plane a line goes through negative 4 negative 3 and 41What is the equation in pointslope form of class=

Respuesta :

leena

Hey there! :)

Answer:

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

Step-by-step explanation:

Begin by calculating the slope of the line shown in the graph. Use the slope formula:

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Plug in two coordinates:

[tex]m = \frac{1-(-3)}{4-(-4)}[/tex]

Simplify:

[tex]m = \frac{4}{8}[/tex]

[tex]m = \frac{1}{2}[/tex]

Therefore, the slope of the line is 1/2.

A line that is perpendicular contains a slope that is the negative reciprocal. Therefore:

1/2 --> -2.

Plug the slope into the point-slope formula:

y -3 = -2(x + 4). This is your equation in point-slope form!

Answer:

y-3 = -2(x+4)

Step-by-step explanation:

Otras preguntas