Draw a graph of the linear equations x – 4y + 10 = 0 and x + 4y – 10 = 0. Find the coordinates of the vertices of the triangle f
ormed by these lines along with the X-axis
2 answers:
The first equation crosses the x axis at x - 4 x 0 + 10 = 0 => x = -10
The second equation crosses the x axis at x + 4 x 0 - 10 = 0 => x = +10
Adding the equations together gives 2x = 0 => x = 0
0 + 4y - 10 = 0 => 4y = 10 => y = 2.5
The vertices of the triangle formed by the two lines and the x axis are (-10, 0) (10, 0) and (0, 2.5)
Step-by-step explanation:
<em><u>x-14y</u></em><em><u>=</u></em><em><u>0</u></em>
<em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u>x</u></em><em><u>=</u></em><em><u>0</u></em><em><u>/</u></em><em><u>1</u></em><em><u>4</u></em><em><u>y</u></em>
<em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u>x</u></em><em><u>=</u></em><em><u>1</u></em><em><u>4</u></em><em><u>y</u></em>
<em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u>1</u></em><em><u>4</u></em><em><u>y</u></em><em><u> </u></em>
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