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 =mx + b, what is the value of b?

0-5
0 -2
0 1
O 5

Answer 1

5

Explanation:

In the slope- intercept form of y= mx +b, m is the slope and b is the y- intercept.

Let's find the slope using the formula below:

`\boxed{slope = (y1 - y2)/(x1 -x 2) }`

`m = (3 - ( - 3))/(1 - 4)`

`m = (3 + 3)/( - 3)`

`m = (6)/( - 3)`

m= -2

Substitute m= -2 into the equation:

y= -2x +b

To find the value of b, substitute a pair of coordinates into the equation:

When x= 1, y= 3,

3= -2(1) +b

3= -2 +b

b= 3 +2 (+2 on both sides)

b= 5

Thus, the 4th option is correct.