Math / Algebra

Question $3 x+4 y=8$
DEETHO THE $X$ -INTEREEPT AND THE $y$ -INTERCEPT (GEE P. 73 MATH NOTES)

Studdy Solution

STEP 1

1. The equation given is in the form of a linear equation.
2. The $x$ -intercept is the point where the line crosses the $x$ -axis, which means $y = 0$ .
3. The $y$ -intercept is the point where the line crosses the $y$ -axis, which means $x = 0$ .

STEP 2

1. Determine the $x$ -intercept by setting $y = 0$ and solving for $x$ .
2. Determine the $y$ -intercept by setting $x = 0$ and solving for $y$ .

STEP 3

To find the $x$ -intercept, set $y = 0$ in the equation $3x + 4y = 8$ .
$3x + 4(0) = 8$ $3x = 8$

STEP 4

Solve for $x$ by dividing both sides by 3:
$x = \frac{8}{3}$
Therefore, the $x$ -intercept is $\left(\frac{8}{3}, 0\right)$ .

STEP 5

To find the $y$ -intercept, set $x = 0$ in the equation $3x + 4y = 8$ .
$3(0) + 4y = 8$ $4y = 8$

STEP 6

Solve for $y$ by dividing both sides by 4:
$y = 2$
Therefore, the $y$ -intercept is $(0, 2)$ .
The $x$ -intercept is $\left(\frac{8}{3}, 0\right)$ and the $y$ -intercept is $(0, 2)$ .

Was this helpful?

Question $3 x+4 y=8$
DEETHO THE $X$ -INTEREEPT AND THE $y$ -INTERCEPT (GEE P. 73 MATH NOTES)

Studdy Solution

STEP 1

1. The equation given is in the form of a linear equation.
2. The $x$ -intercept is the point where the line crosses the $x$ -axis, which means $y = 0$ .
3. The $y$ -intercept is the point where the line crosses the $y$ -axis, which means $x = 0$ .

STEP 2

1. Determine the $x$ -intercept by setting $y = 0$ and solving for $x$ .
2. Determine the $y$ -intercept by setting $x = 0$ and solving for $y$ .

STEP 3

To find the $x$ -intercept, set $y = 0$ in the equation $3x + 4y = 8$ .
$3x + 4(0) = 8$ $3x = 8$

STEP 4

Solve for $x$ by dividing both sides by 3:
$x = \frac{8}{3}$
Therefore, the $x$ -intercept is $\left(\frac{8}{3}, 0\right)$ .

STEP 5

To find the $y$ -intercept, set $x = 0$ in the equation $3x + 4y = 8$ .
$3(0) + 4y = 8$ $4y = 8$

STEP 6

Solve for $y$ by dividing both sides by 4:
$y = 2$
Therefore, the $y$ -intercept is $(0, 2)$ .
The $x$ -intercept is $\left(\frac{8}{3}, 0\right)$ and the $y$ -intercept is $(0, 2)$ .

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Question3x+4y=83 x+4 y=83x+4y=8DEETHO THE XXX-INTEREEPT AND THE yyy-INTERCEPT (GEE P. 73 MATH NOTES)

Studdy Solution

STEP 1

1. The equation given is in the form of a linear equation.2. The x x x-intercept is the point where the line crosses the x x x-axis, which means y=0 y = 0 y=0.3. The y y y-intercept is the point where the line crosses the y y y-axis, which means x=0 x = 0 x=0.

STEP 2

1. Determine the x x x-intercept by setting y=0 y = 0 y=0 and solving for x x x.2. Determine the y y y-intercept by setting x=0 x = 0 x=0 and solving for y y y.

STEP 3

To find the x x x-intercept, set y=0 y = 0 y=0 in the equation 3x+4y=8 3x + 4y = 8 3x+4y=8.3x+4(0)=8 3x + 4(0) = 8 3x+4(0)=8 3x=8 3x = 8 3x=8

STEP 4

Solve for x x x by dividing both sides by 3:x=83 x = \frac{8}{3} x=38​Therefore, the x x x-intercept is (83,0) \left(\frac{8}{3}, 0\right) (38​,0).

STEP 5

To find the y y y-intercept, set x=0 x = 0 x=0 in the equation 3x+4y=8 3x + 4y = 8 3x+4y=8.3(0)+4y=8 3(0) + 4y = 8 3(0)+4y=8 4y=8 4y = 8 4y=8

STEP 6

Solve for y y y by dividing both sides by 4:y=2 y = 2 y=2Therefore, the y y y-intercept is (0,2) (0, 2) (0,2). The x x x-intercept is (83,0) \left(\frac{8}{3}, 0\right) (38​,0) and the y y y-intercept is (0,2) (0, 2) (0,2).

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Question $3 x+4 y=8$
DEETHO THE $X$ -INTEREEPT AND THE $y$ -INTERCEPT (GEE P. 73 MATH NOTES)

1. The equation given is in the form of a linear equation.
2. The $x$ -intercept is the point where the line crosses the $x$ -axis, which means $y = 0$ .
3. The $y$ -intercept is the point where the line crosses the $y$ -axis, which means $x = 0$ .

1. Determine the $x$ -intercept by setting $y = 0$ and solving for $x$ .
2. Determine the $y$ -intercept by setting $x = 0$ and solving for $y$ .

To find the $x$ -intercept, set $y = 0$ in the equation $3x + 4y = 8$ .
$3x + 4(0) = 8$ $3x = 8$

Solve for $x$ by dividing both sides by 3:
$x = \frac{8}{3}$
Therefore, the $x$ -intercept is $\left(\frac{8}{3}, 0\right)$ .

To find the $y$ -intercept, set $x = 0$ in the equation $3x + 4y = 8$ .
$3(0) + 4y = 8$ $4y = 8$

Solve for $y$ by dividing both sides by 4:
$y = 2$
Therefore, the $y$ -intercept is $(0, 2)$ .
The $x$ -intercept is $\left(\frac{8}{3}, 0\right)$ and the $y$ -intercept is $(0, 2)$ .