Mathematics: If you know how to do it, please help me out :)

The 1st one is 6.the 2nd one is 1.the 3rd one is 6 again and the last one i do not kkow sorry...

If you know how to do it, please help me out

jadejordan8888

01.05.2021

Answer in explanation.

Step-by-step explanation:

Lets take

$y = \frac{3}{4} x - 5$

as L1.

Take L2 the line perpendicular to L1.

Standard form of equation of line:

y=mx+c, where m = slope and c = y-intercept.

Since L1 and L2 are perpendicular,

mL1 x mL2 = -1

Substitute mL1 into the equation,

3/4 x mL2 = -1

mL2 = -1 ÷ 3/4

mL2 = -4/3

L2 : y = mx+ c

Substitute y = 6, x = 8 and m = -4/3 into the equation,

$6 = - \frac{4}{3} (8) + c \\ 6 = - \frac{32}{3} + c \\ c = 6 + \frac{32}{3} \\ = 16 \frac{2}{3}$

therefore L2:

$y = - \frac{4}{3}x + 16 \frac{2}{3}$

Lets take L3 as the line parallel to L1.

Since L3 and L1 are parallel,

mL3 = mL1 = 3/4

equation of line: y = mx+c

substitute y = 6, x = 8 and m = 3/4 into equation.

$6 = ( \frac{3}{4} )(8) + c \\ 6 = 6 + c \\ c = 6 - 6 \\ = 0$

therefore L3:

$y = \frac{3}{4} x$

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