Question

ANSWER QUICKLY PLEASE

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?
–5
–2
1
5

Answer 1

The value of b is 5.

Find the slope (m)of the points first and you'll get -6/3, which is -2.
Choose a point and the -2 and plug the values into the formula y=mx + b to find b.
3 = -2 (1) + b
3 = -2 + b
+2 = +2 +b
5 = b

Answer 2

5

Explanation:

Since, the equation of the line passes through
`(x_1,y_1)` and
`(x_2, y_2)` is,

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

Thus, the equation of the line passes through points C(1, 3) and D(4, -3) is,

`y-3=(-3-3)/(4-1)(x-1)`

`y-3=-(6)/(3)(x-1)=-2(x-1)=-2x+2`

`y=-2x+2+3`

`\implies y =-2x+5`

Now, the slope-intercept form of line is, y = mx + b,

By comparing,

b = 5

LAST option is correct.