Question

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.

Answer 1

C

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.