Question

Recommending Other Equations for a Solution

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The graph of the equation y = { x + 2 is displayed.
6
Which equations would intersect the orange line at the
y-intercept? Check all that apply.
4
2
O y = 7x + 2
y = 3x + 5
4

2
2
4
6
2
Dy-2 = 4x
3y = -9.x - 6
-4
-6"

Answer 1

The equation that intersects the orange line at the y-intercept is 4y - 2 = 4x.

Step-by-step explanation:

The graph of the equation y = x + 2 is displayed. To find equations that intersect the orange line at the y-intercept, we need to check which equations have a y-intercept of 9.

1. y = 7x + 2: This equation does not intersect the orange line at the y-intercept of 9, as it intersects the y-axis at 2.
2. y = 3x + 5: This equation does not intersect the orange line at the y-intercept of 9, as it intersects the y-axis at 5.
3. 4y - 2 = 4x: Rearranging the equation, we get y = x + 0.5. This equation intersects the orange line at the y-intercept of 9.
4. 3y = -9x - 6: Rearranging the equation, we get y = -3x - 2. This equation does not intersect the orange line at the y-intercept of 9, as it intersects the y-axis at -2.

Therefore, the equations that intersect the orange line at the y-intercept are 4y - 2 = 4x.