Which of the following is the equation of
the line passing through the points (1, 1)
and (-3,5)?
(a) y=x
(b) y= -x
(c) y= -1x – 2
(d) y= -1x + 2
which of the following is the equation of a
line with a slope of 0 passing through (2,5)?
(a) x = 2
(b) x= -2
(c) y=5
(d) y= -5

a) Option A is correct.

b) Option C is correct.

Step-by-step explanation:

a) Which of the following is the equation of  the line passing through the points (1, 1)  and (-3,5)?

We will use the equation

(y-y₁)=m(x-x₁)

m= (y₂-y₁)/(x₂-x₁)

m= (5-1)/(-3-1)

m= 4/-4

m= -1

Consider point (1,1) and Putting value of m

(y-y₁)=m(x-x₁)

(y-1)=1(x-1)

y-1=x-1

y=x-1+1

y=x

So, Option A is correct.

b) Which of the following is the equation of a  line with a slope of 0 passing through (2,5)?

The formula used is:

y= mx+b

Finding b:

5=0(2)+b

=> b = 5

So, equation is:

y = mx+b

y=0x+5

y=5

So, Option C is correct.

y=mx+