<p>The straight line \(y = qx + 4\) intersects the curve \(y = 3x^2 + -2x + 4\) at two points.</p>
<ol class="abc-list"><li data-list-item-id="item-1783847658636-bw42d4aow" data-list-item-path="item-1783847658636-bw42d4aow"><div class="list-item-paragraph">Find the range of values of \(q\)</div></li><li data-list-item-id="item-1783847669836-2gzhvg54q" data-list-item-path="item-1783847669836-2gzhvg54q"><div class="list-item-paragraph">Given&nbsp;\(q = 7\), find the coordinates of the points of intersection</div></li></ol>

The straight line \(y = qx + 4\) intersects the curve \(y = 3x^2 + -2x + 4\) at two points.

Given \(q = 7\), find the coordinates of the points of intersection

Intersection of a line and curve

Intersection of a line and curve