Ontario Mathematics Proficiency Practice Test

Question: 1 / 400

Identify the x-intercept of the equation \( y = 2x - 4 \).

2

To find the x-intercept of the equation \( y = 2x - 4 \), we need to determine the value of \( x \) when \( y \) equals 0. The x-intercept occurs where the graph of the equation crosses the x-axis, which corresponds to the point where the output (y) is zero.

We can set \( y \) to 0 and solve for \( x \):

\[

0 = 2x - 4

\]

Now, adding 4 to both sides results in:

\[

4 = 2x

\]

Next, we divide both sides by 2 to isolate \( x \):

\[

x = 2

\]

Thus, the x-intercept of the equation \( y = 2x - 4 \) is \( 2 \). This indicates that when the value of \( y \) is 0, the corresponding value of \( x \) is indeed 2, which aligns with the correct answer.

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