Question

Find the equations of the line passing through (4, 5) and making an angle of 45° with the line 2x – y + 7 = 0.​

Answer 1

Step-by-step explanation:

$\Huge\underline{\underline{\sf ANSWER}} \\ we \: know \: that = > \\ \\ \tan(a) = | \frac{m2 - m1}{1 + m1 \times m2} | \\ \tan( \frac{\pi}{4} ) = | \frac{m1 - 2}{1 + 2m1} | \\ 1 = \frac{m1 - 2}{1 + 2m1} \: \: \: \: or \: \: \: \: 1 = - ( \frac{m1 - 2}{1 + 2m1} ) \\ 2m1 + 1 = m1 - 2 \: \: \: or \: \: \: \\ 2m1 + 1 = 2 - m1 \\ m1 = - 1 \: \: \: \: or \: \: \: \: m1 = \frac{1}{3} \\ \\ if \: m1 = - 1 = > \\ (y - 5) = - 1(x - 4) \\ y - 5 = - x + 4 \\ x + y - 9 = 0 \\ \\ \\ if \: m1 = \frac{1}{3} \\ (y - 5) = \frac{1}{3} (x - 4) \\ 3y - 15 = x - 4 \\ x - 3y + 11 = 0 \\ \\ there \: are \: two \: equations... \\ x + y - 9 = 0 \: \: or \: \: x - 3y + 11 = 0\\ \\ hope \: it \: helps...$

Answer 2

Step-by-step explanation:

see in the attachment ....

HOPE IT HELP UHHH. .......