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 = [tex]\frac{-3-3}{4-1}[/tex] = [tex]\frac{-6}{3}[/tex] = - 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
The value of the y-intercept "b" if the line passes through the points C(1, 3) and D(4, –3) is 5
The formula for calculating the equation of a line is expressed as y = mx + b where;
m is the slope of the line
b is the y-intercept
Given the coordinate points (1,3) and (4, -3)
Get the slope:
Slope = -3-3/4-1
Slope = -6/3
Slope = - 2
Get the y-intercept:
3 = -2(1) + b
3 = -2 + b
b = 3 + 2
b = 5
Hence the value of the y-intercept "b" if the line passes through the points C(1, 3) and D(4, –3) is 5
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