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The movement of the progress bar may be uneven because questions can be worth more or less (Including zero) depending on your answer.
Match the line described on the left with the slope of the line on the right.

y=0

-3

9x+3y=18
the line through
(-5,7) and
(-5,-8)
2
the line through
(4,-1) and
(8,7)
undefined

The movement of the progress bar may be uneven because questions can be worth more or less (Including zero) depending on your answer. $\newline$ Match the line described on the left with the slope of the line on the right. $\newline$ $y=0$ $\newline$ $-3$ $\newline$ $9 x+3 y=18$ $\newline$ the line through $(-5,7)$ and $(-5,-8)$ $\newline$ $2$ $\newline$ the line through $(4,-1)$ and $(8,7)$ $\newline$ undefined

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Find instantaneous rates of change

Full solution

Q. The movement of the progress bar may be uneven because questions can be worth more or less (Including zero) depending on your answer.

\newline

Match the line described on the left with the slope of the line on the right.

\newline

y=0

\newline

-3

\newline

9 x+3 y=18

\newline

the line through

(-5,7)

and

(-5,-8)

\newline

2

\newline

the line through

(4,-1)

and

(8,7)

\newline

undefined

Horizontal Line Slope: Determine the slope of the line described by the equation $y=0$ . $\newline$ The equation $y=0$ represents a horizontal line. The slope of a horizontal line is $0$ because there is no change in $y$ as $x$ changes.
Slope-Intercept Form: Determine the slope of the line described by the equation $9x+3y=18$ . First, we need to put the equation in slope-intercept form, which is $y=mx+b$ , where $m$ is the slope. To do this, we solve for $y$ : $3y = -9x + 18$ $y = -3x + 6$ The slope of this line is $-3$ .
Vertical Line Slope: Determine the slope of the line passing through the points $(-5,7)$ and $(-5,-8)$ . The slope $m$ of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $m = \frac{y_2 - y_1}{x_2 - x_1}$ . Plugging in the values: $m = \frac{-8 - 7}{-5 - (-5)}$ $m = \frac{-15}{0}$ This calculation results in a division by zero, which is undefined. Therefore, the slope of this line is undefined, indicating it is a vertical line.
Slope Calculation: Determine the slope of the line passing through the points $(4,-1)$ and $(8,7)$ . Using the same slope formula as in Step $3$ : $m = \frac{(7 - (-1))}{(8 - 4)}$ $m = \frac{(7 + 1)}{(4)}$ $m = \frac{8}{4}$ $m = 2$ The slope of this line is $2$ .

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