QuestionFind the $x$ -intercept and $y$ -intercept of the line defined by $x + 2y = 8$ .

Studdy Solution

STEP 1

Assumptions1. The equation of the line is $x +y =8$ .

STEP 2

To find the $x$ -intercept, we set $y$ to0 and solve for $x$ . $x +2(0) =8$

STEP 3

olve the equation for $x$ .
$x =8$ So, the $x$ -intercept is8.

STEP 4

To find the $y$ -intercept, we set $x$ to0 and solve for $y$ .
$0 +2y =8$

STEP 5

olve the equation for $y$ .
$y = \frac{8}{2}$ $y =4$ So, the $y$ -intercept is4.
The $x$ -intercept is8 and the $y$ -intercept is4.

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QuestionFind the $x$ -intercept and $y$ -intercept of the line defined by $x + 2y = 8$ .

Studdy Solution

STEP 1

Assumptions1. The equation of the line is $x +y =8$ .

STEP 2

To find the $x$ -intercept, we set $y$ to0 and solve for $x$ . $x +2(0) =8$

STEP 3

olve the equation for $x$ .
$x =8$ So, the $x$ -intercept is8.

STEP 4

To find the $y$ -intercept, we set $x$ to0 and solve for $y$ .
$0 +2y =8$

STEP 5

olve the equation for $y$ .
$y = \frac{8}{2}$ $y =4$ So, the $y$ -intercept is4.
The $x$ -intercept is8 and the $y$ -intercept is4.

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QuestionFind the xxx-intercept and yyy-intercept of the line defined by x+2y=8x + 2y = 8x+2y=8.

Studdy Solution

STEP 1

Assumptions1. The equation of the line is x+y=8x +y =8x+y=8.

STEP 2

To find the xxx-intercept, we set yyy to0 and solve for xxx.x+2(0)=8x +2(0) =8x+2(0)=8

STEP 3

olve the equation for xxx.x=8x =8x=8So, the xxx-intercept is8.

STEP 4

To find the yyy-intercept, we set xxx to0 and solve for yyy.0+2y=80 +2y =80+2y=8

STEP 5

olve the equation for yyy.y=82y = \frac{8}{2}y=28​y=4y =4y=4So, the yyy-intercept is4.The xxx-intercept is8 and the yyy-intercept is4.

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QuestionFind the $x$ -intercept and $y$ -intercept of the line defined by $x + 2y = 8$ .

Assumptions1. The equation of the line is $x +y =8$ .

To find the $x$ -intercept, we set $y$ to0 and solve for $x$ . $x +2(0) =8$

olve the equation for $x$ .
$x =8$ So, the $x$ -intercept is8.

To find the $y$ -intercept, we set $x$ to0 and solve for $y$ .
$0 +2y =8$

olve the equation for $y$ .
$y = \frac{8}{2}$ $y =4$ So, the $y$ -intercept is4.
The $x$ -intercept is8 and the $y$ -intercept is4.