Question

If A (2;2) and B (-3;4), determine the equation of AB, in the form y=mx+c

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

A(2,2) and B(-3,4)

Slope=m=(y2-y1)÷(x2-x1)=(4-2)÷(-3-2)=-2÷5

For y intercept "c"

y=mx+c (m=-2÷5 ;x,y are coordinates of theline)

2=-2÷5(2)+c [ (A(2,2))]

C=-10÷4

We have m=-2÷5 and c=-10÷4

Thus the line intercept form of the line is

y=mx+c

y=-2÷5(x)+(-10÷4)

20y=-8x+(-50)

8x+20y+50=0

(÷2)

4x+10y+25=0 (is your answer)