Question

Line CD passes through points C (1,3) and D (4,-3). If the equation of the line is written in slope intercept form, y=my+b, what is the value of b?

Answer 1

Answer: B

Explanation:

Answer 2

b=5

Explanation:

C(1,3) and point D(4,-3)

Since we want the equation in slope intercept form we must first calculate the slope (m):

`m=(y_(2)-y_(1))/(x_(2)-x_(1)) \\\\m=(-3-3)/(4-1)\\ \\m=(-6)/(3) \\\\m=-2`

By point slope formula and using point C (1,3) we have:
`y-y_(1)=m(x-x_(1))\\\\y=m(x-x_(1))+y_(1)\\\\y=-2(x-1)+3\\\\y=-2x+2+3\\\\y=-2x+5`

So the slope is -2 and the y -intercept (b) is 5.