Worksheet 1i Name and Discunsion Sectien R Wrne an equarti

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Solution

1)

a) given equation of line 3x +4y =8

4y =-3x +8

y=(-3/4)y +2

slope of line given line = (-3/4)

parallel lines have same slope

so, slope of required line is also m= (-3/4)

required line contains point (x1,y1)=(3,5)

equation of line in point slope form is y-y₁=(m)*(x-x₁)

y-5=(-3/4)*(x-3)

4y -20 =-3x+9

3x+4y =29

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b)

given equation of line 4x +5y =9

5y =-4x +8

y=(-4/5)y +(8/5)

slope of line given line = (-4/5)

product of slopes of perpendicular lines =-1

(-4/5)*m =-1

m=5/4

so, slope of required line is also m= 5/4

required line contains point (x1,y1)=(-2,4)

equation of line in point slope form is y-y₁=(m)*(x-x₁)

y-4=(5/4)*(x-(-2))

4y-16=5x+10

4y =5x+26

y=(5/4)x+(26/4)