In: Math
Write an equation in standard form given slope =-3/4; P(-1,2)
a. 3x+ 4y =5 b. 3x-4y=5 c. 3x-4y=-5 d. 3x+4y =-5
Answer: (a) 3x+4y=5
Explanation: The equation of a line with slope, m, and passing through points (x1, y1) is given by
y-y1=m(x-x1) ---------------------------------------------------- (1)
In the present case, m=-(3/4) and (x1, y1)=(-1, 2). So, using eqn 1
y-2=-(3/4){x-(-1)}
y-2=-(3/4)(x+1)
4(y-2)=-3(x+1)
4y-8=-3x-3
4y+3x=-3+8
3x+4y=5
This is the required equation in standard form.