Now You Try

<p>A line segment has endpoints <code class='latex inline'>A(1, -5)</code> and <code class='latex inline'>B(4, 1)</code>. </p>
<ul>
<li>Determine the coordinate of two points, C and D, that would make ABCD a parallelogram.</li>
</ul>

<p>In general, what is true about the equation of any line parallel to the y-axis?</p>

<p>Use the given information to write the equation of each line. </p><p>A line parallel to the line defined by <code class='latex inline'>y=3x + 5</code> and passing through the point <code class='latex inline'>(3, -5)</code></p>

<p>Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.</p><p><code class='latex inline'>\displaystyle (1,3) ; y=3 x+2 </code></p>

<p>Use the given information to write the equation of each line. </p><p>A line parallel to the line defined by <code class='latex inline'>3x + 2y=7</code> with y-intercept = 3</p>

<p>Can you solve the linear system <code class='latex inline'>y= 2x-3</code> and <code class='latex inline'>4x- 2y= 8</code>? Explain your reasoning. </p>

<p>Write the equation of a line parallel to the x-axis that passes through the point (1, 4).</p>

<p>State an equation of a line parallel to <code class='latex inline'>y=-\frac{3}{2}x + 9</code>.</p>

<p>Write the equation of a line parallel to the y-axis that passes through the point (6, 2).</p>

<p>Can you solve the linear system <code class='latex inline'>y=2x-3</code> and <code class='latex inline'>4x- 2y= 6</code>?
Explain your reasoning.</p>

<p>In general, what is true about the equation of any line parallel to the x-axis?</p>

<p>State an equation of a line perpendicular to <code class='latex inline'>y=-\frac{3}{2}x + 9</code>.</p>

<p>Write the equation of a line parallel to the x-axis that passes through the point (3, -8).</p>

<p>Write the equation of a line parallel to the y-axis that passes through the point (-9, 3).</p>

<p>Determine the value of <code class='latex inline'>k</code> in each graph. </p><img src="/qimages/1373" />