x = -5 is the equation of the line that is parallel to the line x = –2 and passes through the point (–5, 4)
<em><u>Solution:</u></em>
Given that, we have to write the equation of line that is parallel to line x = -2 and passes through point (-5, 4)
From given,
The equation of the line in standard form is x = -2
<em><u>This is a vertical line, so the parallel line will also be a vertical line of the form:</u></em>
x = a
Since we are given that the line should pass through the point (-5, 4) then the equation of the line is:
x = -5
Thus the equation of line is found
<em>Answer:</em>
<em>y = - 5 ; x = 6</em>
<em>Step-by-step explanation:</em>
<em>-5y+4x= 49</em>
<em>7y+2x= -23 | × - 2</em>
<em />
<em>-5y+4x= 49</em>
<em>-14y - 4x = 46</em>
<em>___________ +</em>
<em>- 5y - 14y + 4x - 4x = 49 + 46</em>
<em>- 19y = 95 | × - 1</em>
<em>19y = - 95</em>
<em>y = - 95 : 19</em>
<em>y = - 5</em>
<em />
<em>- 5(-5) + 4x = 49</em>
<em>25 + 4x = 49</em>
<em>4x = 49 - 25</em>
<em>4x = 24</em>
<em>x = 24 : 4</em>
<em>x = 6</em>
The long answer is <span>28.571428%, but I would round it upwards to make it seem more realistic.</span>
