Now You Try

<p>Is <code class='latex inline'>x = 5</code> the x-intercept of <code class='latex inline'>2x - 3y = 10</code>? Explain how you know.</p>

<p>Graph each relation. </p><img src="/qimages/194" />

<p>Calculate the slope of each line.</p><p>The line passes through points (2, 7) and (6, -1)</p>

<p>Represent the following as a equation of a line or graph.</p><img src="/qimages/2722" />

<p>The table shows the value )1, in dollars, of a rate coin that is x years old.</p><img src="/qimages/7034" /><p>a) Is this relationship linear or nonlinear? </p><p>b) Graph the data.</p><p>c) Find the equation of this relationship. </p><p>d) Use the equation to find the value of the coin after 15 years.</p>

<p>Describe each relation using an equation. </p><img src="/qimages/195" />

<p>Identify each relation as linear or nonlinear. Explain your reasoning.</p><img src="/qimages/9967" />

<p>Kristina is snowboarding down this hill.</p><p>a) On which segment will she go fastest? Why?</p><p>b) On which segment will she go slowest? Why?</p><p>c) Prove your answers to parts a) and b)
mathematically.</p><img src="/qimages/7030" />

<p>Ellen is training for a race. The table shows her times and distances. </p><img src="/qimages/196" />
<ul>
<li><strong>(a)</strong> Which variable is independent and which is dependent?</li>
<li><strong>(b)</strong> Estimate the distance Elinor has run after 22 min.</li>
<li><strong>(c)</strong> Describe the relation using a graph. </li>
<li><strong>(d)</strong> Verify your estimate in part (b)</li>
</ul>

<p>Sketch the graph of
<code class='latex inline'>\displaystyle
3x -2y =12
</code></p>

<p>Graph each relation. </p><img src="/qimages/193" />

<p>Represent the following as a equation of a line or graph.</p><img src="/qimages/2721" />

<p>Describe each relation using an equation. </p><img src="/qimages/193" />

<p>Write the equation of a line for the table below.</p><img src="/qimages/6849" />

<p>The points represented by the table lie on a line. Find the slope of the line.</p><p><code class='latex inline'>\displaystyle
\begin{array}{|c|c|}
\hline x & y \\
\hline -4 & -1 \\
-3 & -1 \\
1 & -1 \\
9 & -1 \\
\hline
\end{array}
</code></p>

<p><strong>a)</strong> Graph the data in the table to the left.</p><p><strong>b)</strong> How does the graph show the rate of change?</p><p><strong>c)</strong> Estimate the air pressure at an altitude of 20 km.</p><img src="/qimages/2728" />

<p>Write the equation of a line for the table below.</p><img src="/qimages/6848" />

<p>The points represented by the table lie on a line. Find the slope of the line.</p><p><code class='latex inline'>\displaystyle
\begin{array}{|c|c|}
\hline \boldsymbol{x} & \boldsymbol{y} \\
\hline 3 & -5 \\
3 & -2 \\
3 & 5 \\
3 & 8 \\
\hline
\end{array}
</code></p>

<p>Determine tow more ordered pairs that lie on each line.</p><p>The slope is <code class='latex inline'>-\frac{3}{5}</code> and the x-intercept is (3, 0).</p>

<p>Write the equation of a line.</p><img src="/qimages/6850" />

<p> A ball is hit straight up into the air. The table shows its height at various times.</p><img src="/qimages/1354" />
<ul>
<li>Graph the data</li>
</ul>

<p>Graph <code class='latex inline'>\displaystyle
y = \frac{2}{3}x -4
</code></p>

<p>Graph <code class='latex inline'>\displaystyle
3x - 6y = 12
</code></p>

<p>Graph each relation. </p><img src="/qimages/195" />

<p>Identify each relation in question 1 as a direct or partial variation. Explain.</p><img src="/qimages/9964" />

<p>Determine tow more ordered pairs that lie on each line.</p><p><code class='latex inline'>\delta y = 5</code>, <code class='latex inline'>\delta x = 2</code>, and (-1, -1) is on the line.</p>

<p> Solve each relation below for <code class='latex inline'>x = 7</code>.</p><img src="/qimages/9964" />

<p>A ball is hit straight up into the air. The table shows its height at various times.</p><img src="/qimages/7033" /><p>a) Identify the relation between height and time as linear or nonlinear.</p><p>b) Graph the data.</p><p>c) Estimate the height of the ball at 1.5 seconds. </p><p>d) Estimate the time at which the height of the ball is 44 m.</p><p>e) Determine the time at which the ball hits the ground.</p><p>f) Determine the maximum height of the ball.</p>

<p>A rectangle has a perimeter of 210 cm.</p><p>a) Explain why 2L + 2W = 210 models the case. What are L and W?</p><p>b) Graph 2L + 2W = 210.</p><p>c) Is the set of data discrete or continuous?
Explain.</p><p>d) Determine two combinations of length and
width for this rectangle.</p>

<p>Calculate the slope of each line.</p><p>The first differences are -5 when the change in x is 1.</p>

<p>Determine tow more ordered pairs that lie on each line.</p><p>The rise is 3, the run is 4, and (2, -5) is on the line.</p>

<p>Calculate the slope of each line.</p><p><code class='latex inline'>\Delta y = 8</code> when <code class='latex inline'>\Delta x = 2</code></p>

<p>Write the equation of a line.</p><img src="/qimages/6851" />

<p>Describe each relation using a table of values or an equation. </p>
<ul>
<li><strong>(a)</strong> The perimeter of an equilateral triangle in terms of its side length</li>
<li><strong>(b)</strong> The amount John pays for a taxi ride, if the fare is <code class='latex inline'>\$0.50/km</code> plus a flat rate of <code class='latex inline'>\$2.50</code></li>
</ul>

<p>Determine tow more ordered pairs that lie on each line.</p><p>The slope is <code class='latex inline'>\frac{2}{3}</code> and the y-intercept is (0, 5).</p>

<p>The table shows the <code class='latex inline'>y</code> value , in dollars, of a rate coin that is <code class='latex inline'>x</code> years old.</p><img src="/qimages/1355" />
<ul>
<li>Graph the data</li>
</ul>

<p>Graph the line below.</p><p><code class='latex inline'>y = 2x + 4</code></p>

<p>Calculate the slope of each line.</p><p>The change in x is 6 and the change in y is 10.</p>

<p>Calculate the slope of each line.</p><p>The rise is 4 and the run is 5.</p>