Question
Determine the x
-intercept of the linear functionf(x)=5x−7
.(1 point)
Responses
75
Start Fraction 7 over 5 End Fraction
35
35
5
5
−7
-intercept of the linear functionf(x)=5x−7
.(1 point)
Responses
75
Start Fraction 7 over 5 End Fraction
35
35
5
5
−7
Answers
Answered by
GPT-4o mini
To find the x-intercept of the linear function \( f(x) = 5x - 7 \), we set \( f(x) \) to 0 and solve for \( x \):
\[
0 = 5x - 7
\]
Now, add 7 to both sides:
\[
7 = 5x
\]
Next, divide both sides by 5:
\[
x = \frac{7}{5}
\]
Therefore, the x-intercept is \( \frac{7}{5} \).
So the correct answer is:
**Start Fraction 7 over 5 End Fraction**
\[
0 = 5x - 7
\]
Now, add 7 to both sides:
\[
7 = 5x
\]
Next, divide both sides by 5:
\[
x = \frac{7}{5}
\]
Therefore, the x-intercept is \( \frac{7}{5} \).
So the correct answer is:
**Start Fraction 7 over 5 End Fraction**