QuestionFind the $y$ -intercept of the equation $2x - 5y = 35$ .

Studdy Solution

STEP 1

Assumptions1. The equation of the line is given as $x -5y =35$ . . The $y$ -intercept of a line is the point where the line crosses the $y$ -axis. At this point, the $x$ -coordinate is always0.

STEP 2

To find the $y$ -intercept, we set $x$ to0 in the equation and solve for $y$ .
$2(0) -5y =35$

STEP 3

implify the equation.
$-5y =35$

STEP 4

To solve for $y$ , divide both sides of the equation by -.
$y = \frac{35}{-}$

STEP 5

Calculate the value of $y$ .
$y = \frac{35}{-5} = -7$ The $y$ -intercept of the line $2x -5y =35$ is -7.

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QuestionFind the $y$ -intercept of the equation $2x - 5y = 35$ .

Studdy Solution

STEP 1

Assumptions1. The equation of the line is given as $x -5y =35$ . . The $y$ -intercept of a line is the point where the line crosses the $y$ -axis. At this point, the $x$ -coordinate is always0.

STEP 2

To find the $y$ -intercept, we set $x$ to0 in the equation and solve for $y$ .
$2(0) -5y =35$

STEP 3

implify the equation.
$-5y =35$

STEP 4

To solve for $y$ , divide both sides of the equation by -.
$y = \frac{35}{-}$

STEP 5

Calculate the value of $y$ .
$y = \frac{35}{-5} = -7$ The $y$ -intercept of the line $2x -5y =35$ is -7.

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QuestionFind the yyy-intercept of the equation 2x−5y=352x - 5y = 352x−5y=35.

Studdy Solution

STEP 1

Assumptions1. The equation of the line is given as x−5y=35x -5y =35x−5y=35. . The yyy-intercept of a line is the point where the line crosses the yyy-axis. At this point, the xxx-coordinate is always0.

STEP 2

To find the yyy-intercept, we set xxx to0 in the equation and solve for yyy.2(0)−5y=352(0) -5y =352(0)−5y=35

STEP 3

implify the equation.−5y=35-5y =35−5y=35

STEP 4

To solve for yyy, divide both sides of the equation by -.y=35−y = \frac{35}{-}y=−35​

STEP 5

Calculate the value of yyy.y=35−5=−7y = \frac{35}{-5} = -7y=−535​=−7The yyy-intercept of the line 2x−5y=352x -5y =352x−5y=35 is -7.

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QuestionFind the $y$ -intercept of the equation $2x - 5y = 35$ .

Assumptions1. The equation of the line is given as $x -5y =35$ . . The $y$ -intercept of a line is the point where the line crosses the $y$ -axis. At this point, the $x$ -coordinate is always0.

To find the $y$ -intercept, we set $x$ to0 in the equation and solve for $y$ .
$2(0) -5y =35$

implify the equation.
$-5y =35$

To solve for $y$ , divide both sides of the equation by -.
$y = \frac{35}{-}$

Calculate the value of $y$ .
$y = \frac{35}{-5} = -7$ The $y$ -intercept of the line $2x -5y =35$ is -7.