Mathematics, 03.07.2019 04:00, tiffanibell71

Unit what is the equation of a line that is perpendicular to -3x + 4y = 4 and passes through the point (4,0)

Answers: 2

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Answers

answered: abadir2008

ANSWER

$y=-\frac{4}{3}x+\frac{16}{3}$

3y+4x=16

EXPLANATION

Let us find the gradient of the line:

-3x+4y=4 by rewriting it in the slope intercept form.

$\Rightarrow 4y=3x+4$

We divide through by 4 now;

$\Rightarrow y=\frac{3}{4}x+1$

This is now in the form;

y=mx+c

where

$m=\frac{3}{4}$ is he slope.

This implies that the slope of the line that is perpendicular to this line will be the negative reciprocal of $m=\frac{3}{4}$ .

Thus the perpendicular line has slope,

$m=\frac{-1}{\frac{3}{4}}= -\frac{4}{3}$ .

Let the perpendicular line have equation,

y=mx+c

When we substitute the slope we have;

$y=-\frac{4}{3}x+c$

We substitute the point. (4,0) to find c.

$0=-\frac{4}{3}(4)+c$

$0=-\frac{16}{3}+c$

$\frac{16}{3}=c$

We substitute c to obtain;

$y=-\frac{4}{3}x+\frac{16}{3}$

3y+4x=16

answered: jsjsjsskakwkowwj

y = -4/3x + 16/3 or 4x + 3y = 16

Step-by-step explanation:

We know that the standard form of equation for a line is:

y = mx +c where is the slope of the line and is the y-intercept.

So writing the given equation in the standard form:

$y = \frac{3}{4} x+1$

According to this equation, the slops (m) is 3/4. So the slope of line perpendicular to this would be negative reciprocal of 3 i.e. -4/3.

Putting the value of the slope and the given point to find the y-intercept:

y=mx+c

$0= -\frac{4}{3} (4)+c$

$c = \frac{16}{3}$

Therefore, the equation of line perpendicular to -3x + 4y = 4 which passes through the point (4,0) is $y = \frac{-4}{3}x+ \frac{16}{3}$ or 4x + 3y = 16.

answered: Guest

the circle graph is not a function.

step-by-step explanation:

the graph of the circle is not a function.

because for a graph to be a function, each value of x must give one value of y

in the circle, the values of x for -2< x< 2 each give 2 values of y.

hence this is not a function.

Which graph does not represent a function?

answered: Guest

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

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