Answered

Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Discover solutions to your questions from experienced professionals across multiple fields on our comprehensive Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Find the equation of the line through point (8, -9) and perpendicular to 3x +8y =4

Sagot :

pwil9

Answer:

3y = 8x - 91

y = 8/3 * x - 30 1/3

Step-by-step explanation:

First we can find the slope of the second line.

Let's rewrite the equation as 8y=44-3x.

After dividing both sides of the equation by 8 we'll get an equivalent equation y = 5.5 - 3/8 * x. The coefficient of x is the slope -> the slope is -3/8. In order for the line to be perpendicular to this line the product of the slopes of two lines should be equal to -1 or in other words the slopes have to be opposite reciprocals of each other. The reciprocal of -3/8 is -8/3. Opposite to it is 8/3. Now we know the slop and the coordinates of a point on the line (given). Let's make the equation of the line in the form of y = mx+ b. We can plug in values for m, y and x. m = 8/3(slope), y=-9 (second coordinate of the point), x = 8 (first coordinate). We got

-9 = 8/3 * 8 +b

Now we need to solve the equation to find b

b =-91/3 or -30 1/3

chibabykalu16

Answer:

Slope = -0.750/2.000 = -0.375

Geometric figure: Straight Line

Slope = -0.750/2.000 = -0.375

x-intercept = 4/3 = 1.33333

y-intercept = 4/8 = 1/2 = 0.50000

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3*x+8*y-(4)=0

STEP

1

:

Equation of a Straight Line

1.1 Solve 3x+8y-4 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3x+8y-4 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 1/2 so this line "cuts" the y axis at y= 0.50000

y-intercept = 4/8 = 1/2 = 0.50000

Calculate the X-Intercept :

When y = 0 the value of x is 4/3 Our line therefore "cuts" the x axis at x= 1.33333

x-intercept = 4/3 = 1.33333

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 0.500 and for x=2.000, the value of y is -0.250. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -0.250 - 0.500 = -0.750 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -0.750/2.000 = -0.375

Geometric figure: Straight Line

Slope = -0.750/2.000 = -0.375

x-intercept = 4/3 = 1.33333

y-intercept = 4/8 = 1/2 = 0.50000

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.