fatboicroi
21.02.2021 •
Mathematics
9 Darby graphed the equation y = 4x + 6 on a
graph. Samuel graphed the line defined by the
table.
x02
y 6 14
-35
-6 26
Which of the statements correctly compares the
two functions?
A. Both functions have the same y-intercept but
different slopes; therefore, Darby and Samuel
have graphed the same line.
B. Both functions have the same slope but different
y-intercepts; therefore, Darby and Samuel have
graphed parallel lines.
C. Both functions have the same y-intercept and
the same slope; therefore, Darby and Samuel
have graphed the same line.
D. Both functions have the same slope and the
same y-intercepts; therefore, Darby and Samuel
have graphed parallel lines.
Solved
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Ответ:
C
Step-by-step explanation:
Darby's equation in slope-intercept form: y = 4x + 6
Where,
Slope (m) = 4
y-intercept (b) = 6
Let's find the slope (m) and y-intercept (b) of the line Samuel graphed using the values of the given table.
Slope (m) using (0, 6) and (2, 14)
Slope (m) = ∆y/∆x = (14 - 6)/(2 - 0) = 8/2
Slope (m) = 4
y-intercept (b) = 6, because at x = 0, y = 6. This is where the line intercepts the y-axis.
Now, we can see that both functions has the same slope (m) = 4, and the same y-intercept (b) = 6
Both will have the same line.
Ответ:
Pay attention to the ratios. Each one has a ratio of 9:1.
27/9 is 3. 27:3 is the same as 9:1.
So 3 losses