contestada

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)? y + 3 = −4(x + 4) y + 3 = –(x + 4) y + 3 = (x + 4) y + 3 = 4(x + 4)

What is the equation in pointslope form of the line that is perpendicular to the given line and passes through the point 4 3 y 3 4x 4 y 3 x 4 y 3 x 4 y 3 4x 4 class=

Respuesta :

cher
Point-slope form : y-y₁=m(x-x₁)

Perpendicular to the given line, and passes through (-4, -3)

Given line slope : -4

How we found slope : I found 2 exact points, and found the slope by doing the slope formula (y₂-y₁/x₂-x₁)

m = slope

However, when a line is perpendicular, we must find the negative reciprocal of our slope.

Slope₁ = -4

Slope ₂ = 1/4

Simply plug everything in.

y - y₁ = m(x - x₁)

y + 3 = 1/4(x +4)

~Hope I helped!~

The slope of the perpendicular lines are inverse and opposite to each other.

The equation of the perpendicular line is,

[tex]y+3=\dfrac{1}{4}(x+4)[/tex]

Thus the option 4 is the correct.

What is the equation of line?

The equation of the line is the way of representation of a line in the equation form.

The equitation of the lines represents the line by the set of points on which the line lies or passes through in the coordinate system.

Given information-

The point from which the perpendicular lines passes are (-4,-3).

The equation of this line can be given as,

[tex](y-y_1)=m(x-x_1)[/tex]

Here, [tex]m[/tex] is the slope of the line. The slope of the line can be given as,

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The point of the given line though which the line passes are (-1,1), and (0,-3).

Put the values,

[tex]m=\dfrac{-3-(-1)}{0-1}\\m=-4[/tex]

Thus the slope of the given line is -4. Now the slope of the perpendicular lines are inverse and opposite to each other.

Thus the slope of the line which is perpendicular to the is 1/4.

The point from which the perpendicular lines passes are (-4,-3) and the slope if 1/4. Thus its equation is,

[tex](y-(-3))=\dfrac{1}{4}(x-(-4))\\y+3=\dfrac{1}{4}(x+4)[/tex]

Hence the equation of the perpendicular line is,

[tex]y+3=\dfrac{1}{4}(x+4)[/tex]

Thus the option 4 is the correct.

Learn more about the equation of line here;

https://brainly.com/question/13763238

Otras preguntas