Question

help please !!! I need some to help learn how to solve this problem

Answer 1

What is the x-intercept of the line with the equation?

Answer 2

Slope = 24
2. x-intercept = 48/24 = 2
3. y-intercept = 48/-1 = -48.00000



Rearrange:

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

8*x-1/3*y-(16)=0

Step by step solution :

Step 1 :
1
Simplify —
3

Answer 3

how do i find the answer?

Answer 4

Equation at the end of step 1 :
1
(8x - (— • y)) - 16 = 0
3


Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 3 as the denominator :
8x 8x • 3
8x = —— = ——————
1 3


Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Answer 5

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
8x • 3 - (y) 24x - y
———————————— = ———————
3 3


Equation at the end of step 2 :
(24x - y)
————————— - 16 = 0
3


Step 3 :

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :
16 16 • 3
16 = —— = ——————
1 3


Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

(24x-y) - (16 • 3) 24x - y - 48
—————————————————— = ————————————
3 3


Equation at the end of step 3 :
24x - y - 48
———————————— = 0
3


Step 4 :

When a fraction equals zero :
4.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:
24x-y-48
———————— • 3 = 0 • 3
3


Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
24x-y-48 = 0

Equation of a Straight Line

4.2 Solve 24x-y-48 = 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 24x-y-48 = 0 and calculate its properties

Graph of a Straight Line :



Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 48/-1 so this line "cuts" the y axis at y=-48.00000
y-intercept = 48/-1 = -48.00000

Calculate the X-Intercept :

When y = 0 the value of x is 2/1 Our line therefore "cuts" the x axis at x= 2.00000
x-intercept = 48/24 = 2

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 -48.000 and for x=2.000, the value of y is 0.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 0.000 - (-48.000) = 48.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 24

Geometric figure: Straight Line
1. Slope = 24
2. x-intercept = 48/24 = 2
3. y-intercept = 48/-1 = -48.00000
lol there u go....

Answer 6

huh @willowwest17

Answer 7

@Watermelon_Talk I helped you lol

Answer 8

What is the x-intercept of the line with the equation?

the x-intercept means where does the line "intercept" or cross the x-axis
that happens when y is 0
so you should replace y with 0 in your equation
8x - y/3 = 16
what new equation do you get when you replace y with 0?

Answer 9

in other words, "erase the y" and write in 0 in stead
what do you get ?

Answer 10

@phi i got 8x-1/3=16

Answer 11

you should get
8x -1/3*0 = 16

you put in 0 instead of y
now multiply 0 times 1/3

Answer 12

you start with
\[ 8 x -\frac{1}{3}y=16\]
then erase the y and put in 0
\[ 8 x -\frac{1}{3}\cancel{y}\cdot 0=16\]

Answer 13

oh okay

Answer 14

what is 1/3 * 0 ?

Answer 15

0

Answer 16

@phi isnt anything times 0 is zero right

Answer 17

yes, that means
8x -0 =16

when you "take away 0" you don't do anything
in other words 8x-0 simplifies to 8x
so you have

8x= 16

to "solve for x" divide both sides by 8

Answer 18

does that not aplly with graphing

Answer 19

oh okay

Answer 20

8x= 16
8x/8 = 16/8

on the left side, 8x/8 is 1x or just x
what do you get for the right side: 16/8

Answer 21

so the answer is 2

Answer 22

yes
x=2
that is the x-intercept for this line

Answer 23

X=2

Answer 24

thnx so much ithnk i can solve it know

Answer 25

without any trouble