WHAT YOU NEED: ruler, pencil and coloured pens. STEP 1: Draw two lines which cross on a piece of paper. STEP 2: Label the angle you know and colour in the angle arc. Colour in the opposite angle.. The following characteristics of intersecting lines help us recognize them: There is only one point where intersecting lines meet. Intersecting lines can meet at any angle that is greater than 0° but less than 180°. Two Straight Lines Never Share Multiple Intersection Points. If they do, they will not be called intersecting lines.

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Solution. First, identify a vector parallel to the line: ⇀ v = − 3 − 1, 5 − 4, 0 − ( − 2) = − 4, 1, 2 . Use either of the given points on the line to complete the parametric equations: x = 1 − 4t y = 4 + t, and. z = − 2 + 2t. Solve each equation for t to create the symmetric equation of the line:. Example 1: finding the point of intersection using a graph. Find the point of intersection of the lines y=x+4 y = x + 4 and y=2x-3. y = 2x − 3. Plot the graph of the first equation. First plot a graph of the equation y=x+4. y = x + 4. Draw a table of values ( 3 3 or 4 4 points are sufficient). x.