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?

Answer 1

The answer is 5 for the value of b l the work is shown here

Answer 2

Answer:

b = 5

Step-by-step explanation:

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = C(1, 3) and (x₂, y₂ ) = D(4, - 3)

m = $\frac{-3-3}{4-1}$ = $\frac{-6}{3}$ = - 2, hence

y = - 2x + b ← is the partial equation of the line

To find b substitute either of the 2 points into the partial equation

Using (1, 3), then

3 = - 2 + b ⇒ b = 3 + 2 = 5