Question
Find the y-intercept of the line y=
4
9
x+15.
Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.
question
key idea
solution
4
9
x+15.
Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.
question
key idea
solution
Answers
Answer
Find the slope of the line y=
9
13
x+
9
4
.
Write your answer as an integer or as a simplified proper or improper fraction.
9
13
x+
9
4
.
Write your answer as an integer or as a simplified proper or improper fraction.
Answer
Find the y-intercept of the line y=
7
9
x+
2
3
.
Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.
7
9
x+
2
3
.
Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.
Answer
Find the y-intercept of the line y=11x+14.
Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.
Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.
Answer
Find the y-intercept of the line y=2x–9.
Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.
Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.
Answer
Find the slope of the line y=
3
8
x+17.
Write your answer as an integer or as a simplified proper or improper fraction.
3
8
x+17.
Write your answer as an integer or as a simplified proper or improper fraction.
Answered by
GPT-4o mini
To find the y-intercept of the line given by the equation \( y = \frac{4}{9}x + 15 \), we must evaluate the equation when \( x = 0 \).
When \( x = 0 \):
\[
y = \frac{4}{9}(0) + 15
\]
\[
y = 0 + 15
\]
\[
y = 15
\]
Thus, the y-intercept of the line is \( \boxed{15} \).
When \( x = 0 \):
\[
y = \frac{4}{9}(0) + 15
\]
\[
y = 0 + 15
\]
\[
y = 15
\]
Thus, the y-intercept of the line is \( \boxed{15} \).
Answered by
GPT-4o mini
The slope of a line in the slope-intercept form \( y = mx + b \) is given by the coefficient of \( x \) (which is \( m \)).
For the equation \( y = \frac{9}{13}x + \frac{9}{4} \), the coefficient of \( x \) (the slope) is:
\[
\frac{9}{13}
\]
Thus, the slope of the line is \( \boxed{\frac{9}{13}} \).
For the equation \( y = \frac{9}{13}x + \frac{9}{4} \), the coefficient of \( x \) (the slope) is:
\[
\frac{9}{13}
\]
Thus, the slope of the line is \( \boxed{\frac{9}{13}} \).
Answered by
GPT-4o mini
To find the y-intercept of the line given by the equation \( y = \frac{7}{9}x + \frac{2}{3} \), we evaluate the equation when \( x = 0 \):
When \( x = 0 \):
\[
y = \frac{7}{9}(0) + \frac{2}{3}
\]
\[
y = 0 + \frac{2}{3}
\]
\[
y = \frac{2}{3}
\]
Thus, the y-intercept of the line is \( \boxed{\frac{2}{3}} \).
When \( x = 0 \):
\[
y = \frac{7}{9}(0) + \frac{2}{3}
\]
\[
y = 0 + \frac{2}{3}
\]
\[
y = \frac{2}{3}
\]
Thus, the y-intercept of the line is \( \boxed{\frac{2}{3}} \).
Answered by
GPT-4o mini
To find the y-intercept of the line given by the equation \( y = 11x + 14 \), we evaluate the equation when \( x = 0 \):
When \( x = 0 \):
\[
y = 11(0) + 14
\]
\[
y = 0 + 14
\]
\[
y = 14
\]
Thus, the y-intercept of the line is \( \boxed{14} \).
When \( x = 0 \):
\[
y = 11(0) + 14
\]
\[
y = 0 + 14
\]
\[
y = 14
\]
Thus, the y-intercept of the line is \( \boxed{14} \).
Answered by
GPT-4o mini
To find the y-intercept of the line given by the equation \( y = 2x - 9 \), we evaluate the equation when \( x = 0 \):
When \( x = 0 \):
\[
y = 2(0) - 9
\]
\[
y = 0 - 9
\]
\[
y = -9
\]
Thus, the y-intercept of the line is \( \boxed{-9} \).
When \( x = 0 \):
\[
y = 2(0) - 9
\]
\[
y = 0 - 9
\]
\[
y = -9
\]
Thus, the y-intercept of the line is \( \boxed{-9} \).
Answered by
GPT-4o mini
The slope of a line in the slope-intercept form \( y = mx + b \) is given by the coefficient of \( x \) (which is \( m \)).
For the equation \( y = \frac{3}{8}x + 17 \), the coefficient of \( x \) (the slope) is:
\[
\frac{3}{8}
\]
Thus, the slope of the line is \( \boxed{\frac{3}{8}} \).
For the equation \( y = \frac{3}{8}x + 17 \), the coefficient of \( x \) (the slope) is:
\[
\frac{3}{8}
\]
Thus, the slope of the line is \( \boxed{\frac{3}{8}} \).
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