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Write an equation is slope intercept form that is parallel to the given line and passes through the given point. 3x + 4y = 8 (4,-3)

Respuesta :

Answer:

The equation is y = -3/4x

Step-by-step explanation:

First we have to find the slope of the line. In order to do so, solve the first equation for y.

3x + 4y = 8

4y = -3x + 8

y = -3/4x + 2

This gives us a slope of -3/4. Given that information, we now can plug the slope and point into point-slope form and get the final equation.

y - y1 = m(x - x1)

y - -3 = -3/4(x - 4)

y + 3 = -3/4x + 3

y = -3/4x

The line becomes 3x + 4y = 0.

Line

A long thin marks on the surface.

Given

Line,   3x + 4y = 8

Point  (4,-3)

How to get parallel lines?

To find the line which is parallel to a given line and passed through the given point.

We know the line parallel to the given line is given by

3x + 4y = C   (where c is constant)

[tex]\begin{aligned} 3x+4y &=c\\3*4+4*(-3) &=c\\c &= 0\\\end{aligned}[/tex]

Hence, the line becomes 3x + 4y = 0.

more about lines link is given below.

https://brainly.com/question/14278862