Question

The line represented by the equation y=−4x +2 intercepts the y-axis __________ the x-axis. Question 2 options: above below on with

Answer 1

The line intercepts the y-axis at 2 ⇒ (0 , 2)

The line intercepts the x-axis at 0.5 ⇒ (0.5 , 0)

Step-by-step explanation:

If a line intersects the x-axis at point (a , 0), then the x-intercept is "a"

If a line intersects the y-axis at point (0 , b), then the y-intercept is "b"

To find the intercepts of the axes:

• To find the x-intercept substitute y by 0
• To find the y-intercept substitute x by 0

∵ The line represented by the equation y = -4 x + 2

- To find y-intercept substitute x by 0

∵ x = 0

∴ y = -4 (0) + 2

∴ y = 0 + 2

∴ y = 2

∴ The y-intercept is 2

The line intercepts the y-axis at 2 ⇒ (0 , 2)

- To find x-intercept substitute y by 0

∵ y = 0

∴ 0 = -4 x + 2

- Add 4 x to both sides

∴ 4 x = 2

- Divide both sides by 4

∴ x = 0.5

∴ The x-intercept is 0.5

The line intercepts the x-axis at 0.5 ⇒ (0.5 , 0)

Learn more:

You can learn more about y-intercept in brainly.com/question/4932386

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