Question

Write an equation of the line (4,3) and (9,-2)

Answer 1

y= -x + 7

Explanation:

to get the equation of a line is y=mx+b

the slope, m, would be calculated (y1-y2)/(x1-x2)

thus we would substitute in (3--2)/(4-9)

which simplifies to 5/-5

or -1

now we know that m= -1

to solve for b we have to put the equation into point-slope form which is

y-y1= m(x-x1)

this would be y-3 = -(x-4)

y-3 = -x+4

y= -x+7