Question

Equation of a line passing through the point (2,-3) slope 3/2

Answer 1

Answer:

Let us take the line in slope-intercept form, which is y=mx+c ........... (i)

It passes through the point P(−2,−3) and slope m=

5

3

If a line passes through point P(p,q) and slope m=a, then the value of c can be obtained by putting

x=p,y=q and m=a

Here, p=−2,q=−3 and m=

5

3

Substituting x=p=−2,y=q=−3 and m=a=

5

3

in (i) we get

−3=

5

3

×(−2)+c⟹c=

5

−9

∴(i) becomes y=

5

3

x+

5

−9

⟹3x−5y−9=0

Hence, option B is correct.

Answer 2

Answer:

3x-2y-12=0

Step-by-step explanation:

a line passing through (x1,y1) and having slope m is

(y-y1)=m(x-x1)

(x1,y1)=(2,-3)

m=3/2

(y+3)=3/2(x-2)

2(y+3)=3(x-2)

2y+6=3x-6

3x-2y-12=0