Mathematics, 23.06.2019 12:00 elizabethwaller8104

What is an equation of the line that passes through the point (−4,3) and is perpendicular to the line 4x−3y=3

Answers: 2

Show answers

Answers

Answer from: rhill5

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

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

rearrange 4x - 3y = 3 into this form

subtract 4x from both sides

- 3y = - 4x + 3 ( divide all terms by - 3 )

y = $\frac{4}{3}$ x - 1 ← in slope- intercept form

with slope m = $\frac{4}{3}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{\frac{4}{3} }$ = - $\frac{3}{4}$

y = - $\frac{3}{4}$ x + c ← is the partial equation

To find c substitute (- 4, 3) into the partial equation

3 = 3 + c ⇒ c = 3 - 3 = 0

y = - $\frac{3}{4}$ x ← equation of line

Answer from: autumnsumrall

StepsSlope-intercept form: y = mx + b (m = slope, b = y-intercept)Standard form: Ax + By = C (A, B, and C are integers and A is nonnegative)

So firstly, we must remember that perpendicular lines have slopes that are negative reciprocals of each other. Now to find the slope of the given line, the easiest method is to convert the standard form equation into slope-intercept. Firstly, subtract both sides by 4x:

-3y=-4x+3

Next, divide both sides by -3:

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

Now the given line is in slope-intercept form. Given this slope-intercept form, we can see that the slope is 4/3. And with this information, our line's slope is going to be -3/4 (since it's the negative reciprocal).

Now, using the slope-intercept form plug the slope of our new line into the m variable and plug (-4,3) into the x and y variable to solve for b as such:

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

Now with all of our information, the equation for our line is $y=-\frac{3}{4}x$ . However, since the given line was in standard form (and it wasn't stated which form the line had to be in) we will put our new line in standard form.

Firstly, add both sides by 3/4x:

$\frac{3}{4}x+y=0$

Next, we want to make 3/4 an integer. To do this, multiply both sides by 4:

3x+4y=0

Answer

In short:

Slope-intercept: y = -3/4xStandard Form: 3x + 4y = 0

Answer from: Quest

31 is prime. and it’s prime factorization is just 31.

Answer from: Quest

sine

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 16:30

Jackie purchased 3 bottles of water and 2 cups of coffee for a family for $7.35. brian bought 4 bottles of water and 1 cup of coffee for his family for $7.15. how much does each bottle of water cost? how much does each cup of coffee cost? i need this done

Answers: 3

Answer

Mathematics, 21.06.2019 17:50

The length and width of a rectangle are consecutive even integers the area of the rectangle is 120 squares units what are the length and width of the rectangle

Answers: 1

Answer

Mathematics, 22.06.2019 00:30

Jan accidently ran 7 minutes longer than he was supposed to. write an expression for the total amount of time jan ran if she was supposed to run m minutes

Answers: 1

Answer

Mathematics, 22.06.2019 01:00

The ideal weight of a nickel is 0.176 ounce. to check that there are 40 nickels in a roll, a bank weighs the roll and allows for an error of 0.015 ounce in total weight

Answers: 1

Answer

You know the right answer?

What is an equation of the line that passes through the point (−4,3) and is perpendicular to the lin...

Questions