Question

Which best describes the effect on the x-intercept of the graph of y=34x−3 if the slope is changed to −34

Answer 1

Answer:

Step-by-step explanation:

⊕ The x-intercept becomes negative and the new line intersects the original line { at (0, - 3) }

Answer 2

Answer:

The last option: The x-intercept becomes negative and the new line intersects the original line.

Step-by-step explanation:

Remember that when finding the x-intercept you set y to 0.

Let's compare the two equations when we solve for x:

0=34x-3          0=-34x-3

1. Add 3 to both sides of the equations

3=34x               3=-34x

2. Divide the coefficients

$\frac{3}{34}$=x                   $\frac{3}{-34}$=x

We know that the new slope does not remain the same as stated in the first and third options. In order for two lines to be parallel, the slopes must be exactly the same, so the second option is incorrect. Therefore, the last option is correct.