Find the y-intercept of . y =

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BlackTom AI · Accepted Answer

When asked for the y-intercept of a line described by y = (some expression in x), the key idea is to evaluate the function at x = 0, because the y-coordinate where the graph crosses the y-axis occurs at x = 0.

However, in this prompt the equation after 'y = ' is missing, so we cannot perform a direct substitution to compute the intercept from the given formula. In a typical y = mx + b form, the y-intercept is the constant term b, since y(0) = b.

The provided answer is 3. Interpreting this in the usual context means that if the equation were in the standard linear form y = mx + b, then b would be 3, making the y-intercept equal to 3. This aligns with the general rule that the y-intercept equals the value of y when x = 0, i.e., y = b.

If the actual equation were known, we would substitute x = 0 and compute y directly to confirm whether the intercept is 3. In the absence of the explicit equation, we can still explain that a y-intercept of 3 implies the constant term or the result of y when x is zero is 3, consistent with the standard interpretation of the intercept on the y-axis.

In summary, the concept rests on evaluating the function at x = 0 to find the y-intercept; with the given answer of 3, this indicates that the equation’s constant term (the value of y when x = 0) is 3, assuming a linear form y = mx + b. If different from that form or if the equation is incomplete, the reasoning would need to adjust accordingly to reflect the exact expression.

ALGII141-027 3.3 Practice Problems

Find the y-intercept of . y =

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ALGII141-027 3.3 Practice Problems

Find the y-intercept of . y =

View Explanation

Log in for full answers

Similar Questions

Find the \( y \) intercept of \( f(x)= \frac{4x^2+3}{6x+3} +-7 \)Give your answer correct to 2 decimal places.

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