Which of the following is the equation ofthe line passing through the points (1, 1)and (-3,5)?(A) y=x(B) y= -x(C) y= -1x – 2(D) y= -1x + 2Which of the following is the equation of aline with a slope of 0 passing through (2,5)?(A) x = 2(B) x= -2(C) y=5(D) y= -5

Answer: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/-4m= -1Consider point (1,1) and Putting value of m(y-y₁)=m(x-x₁)(y-1)=1(x-1)y-1=x-1y=x-1+1y=xSo, 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+bFinding b:5=0(2)+b=> b = 5So, equation is:y = mx+by=0x+5y=5So, Option C is correct.