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Y = 4x – 4 Which of the following phrases describes characteristics for the graph of the equation?

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Answer:

D. A line with a positive slope that crosses the x-axis at a positive value and crosses the y-axis at a negative value.

Explanation:

The given equation is in slope-intercept form.

y = mx +b . . . . where m is the slope, and b is the y-intercept

This tells you the slope is positive (up to the right) and the y-intercept is negative.

A line that goes up to the right from a point on the -y axis must cross the x-axis at some positive value.

The appropriate description is ...

A line with a positive slope that crosses the x-axis at a positive value and crosses the y-axis at a negative value

Y = 4x – 4 Which of the following phrases describes characteristics for the graph-example-1
User Eirinn
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Answer:

  • Option D

Explanation:

Given line

  • y = 4x - 4

The answer options

A. A line with a negative slope that crosses the x-axis at a negative value and crosses the y-axis at a negative value.

  • Incorrect. The slope is positive: 4

B. A line with a negative slope that crosses the x-axis at a positive value and crosses the y-axis at a positive value.

  • Incorrect. The slope is positive: 4

C. A line with a positive slope that crosses the x-axis at a negative value and crosses the y-axis at a negative value.

  • Incorrect. The line crosses the x/axis at positive value of 1.

D. A line with a positive slope that crosses the x-axis at a positive value and crosses the y-axis at a negative value.

  • Correct