Algebra-1

To determine which line has an x-intercept of -2 and is parallel to y = 4x + 7, we need to analyze the equations and consider the slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept.

The given line has a slope of 4. Any line parallel to this line will also have a slope of 4.

To find the x-intercept of a line, we set y = 0 and solve for x.

Let's analyze the options:

A. y = 4x - 2
The slope of this line is 4, which is equal to the slope of y = 4x + 7. To find the x-intercept, we set y = 0:



The x-intercept is , not -2. Therefore, line A does not have an x-intercept of -2 and is not parallel to y = 4x + 7.

B. y = 4x + 8
The slope of this line is 4, which is equal to the slope of y = 4x + 7. To find the x-intercept, we set y = 0:
0 = 4x + 8
4x = -8
x = -2
The x-intercept is -2, which satisfies the condition. Therefore, line B has an x-intercept of -2 and is parallel to y = 4x + 7.

C.

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