QuestionFind the intercepts of $y=-4x+4$ . Provide answers as points $(x, y)$ . What is the $x$ -intercept?

Studdy Solution

STEP 1

Assumptions1. The equation of the line is $y=-4x+4$ . The x-intercept is the point where the line crosses the x-axis (where $y=0$ )
3. The y-intercept is the point where the line crosses the y-axis (where $x=0$ )

STEP 2

To find the x-intercept, we set $y=0$ in the equation and solve for $x$ .
$0=-4x+4$

STEP 3

Rearrange the equation to isolate $x$ .
$x=$

STEP 4

Divide both sides of the equation by4 to solve for $x$ .
$x=4/4$

STEP 5

Calculate the value of $x$ .
$x=1$ The x-intercept is the point $(1,0)$ .

STEP 6

To find the y-intercept, we set $x=0$ in the equation and solve for $y$ .
$y=-4(0)+4$

STEP 7

Calculate the value of $y$ .
$y=4$ The y-intercept is the point $(0,4)$ .
So, the x-intercept is $(1,0)$ and the y-intercept is $(0,4)$ .

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QuestionFind the intercepts of $y=-4x+4$ . Provide answers as points $(x, y)$ . What is the $x$ -intercept?

Studdy Solution

STEP 1

Assumptions1. The equation of the line is $y=-4x+4$ . The x-intercept is the point where the line crosses the x-axis (where $y=0$ )
3. The y-intercept is the point where the line crosses the y-axis (where $x=0$ )

STEP 2

To find the x-intercept, we set $y=0$ in the equation and solve for $x$ .
$0=-4x+4$

STEP 3

Rearrange the equation to isolate $x$ .
$x=$

STEP 4

Divide both sides of the equation by4 to solve for $x$ .
$x=4/4$

STEP 5

Calculate the value of $x$ .
$x=1$ The x-intercept is the point $(1,0)$ .

STEP 6

To find the y-intercept, we set $x=0$ in the equation and solve for $y$ .
$y=-4(0)+4$

STEP 7

Calculate the value of $y$ .
$y=4$ The y-intercept is the point $(0,4)$ .
So, the x-intercept is $(1,0)$ and the y-intercept is $(0,4)$ .

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QuestionFind the intercepts of y=−4x+4y=-4x+4y=−4x+4. Provide answers as points (x,y)(x, y)(x,y). What is the xxx-intercept?

Studdy Solution

STEP 1

Assumptions1. The equation of the line is y=−4x+4y=-4x+4y=−4x+4 . The x-intercept is the point where the line crosses the x-axis (where y=0y=0y=0)3. The y-intercept is the point where the line crosses the y-axis (where x=0x=0x=0)

STEP 2

To find the x-intercept, we set y=0y=0y=0 in the equation and solve for xxx.0=−4x+40=-4x+40=−4x+4

STEP 3

Rearrange the equation to isolate xxx.x=x=x=

STEP 4

Divide both sides of the equation by4 to solve for xxx.x=4/4x=4/4x=4/4

STEP 5

Calculate the value of xxx.x=1x=1x=1The x-intercept is the point (1,0)(1,0)(1,0).

STEP 6

To find the y-intercept, we set x=0x=0x=0 in the equation and solve for yyy.y=−4(0)+4y=-4(0)+4y=−4(0)+4

STEP 7

Calculate the value of yyy.y=4y=4y=4The y-intercept is the point (0,4)(0,4)(0,4).So, the x-intercept is (1,0)(1,0)(1,0) and the y-intercept is (0,4)(0,4)(0,4).

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QuestionFind the intercepts of $y=-4x+4$ . Provide answers as points $(x, y)$ . What is the $x$ -intercept?

Assumptions1. The equation of the line is $y=-4x+4$ . The x-intercept is the point where the line crosses the x-axis (where $y=0$ )
3. The y-intercept is the point where the line crosses the y-axis (where $x=0$ )

To find the x-intercept, we set $y=0$ in the equation and solve for $x$ .
$0=-4x+4$

Rearrange the equation to isolate $x$ .
$x=$

Divide both sides of the equation by4 to solve for $x$ .
$x=4/4$

Calculate the value of $x$ .
$x=1$ The x-intercept is the point $(1,0)$ .

To find the y-intercept, we set $x=0$ in the equation and solve for $y$ .
$y=-4(0)+4$

Calculate the value of $y$ .
$y=4$ The y-intercept is the point $(0,4)$ .
So, the x-intercept is $(1,0)$ and the y-intercept is $(0,4)$ .