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:
∵ 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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