What is the equation of the line that passes through (−5, 0) and (4, 3)? A. y=1/3x+5/3
B. y=-1/3x-5
C. y=3x+15
D. y=-3x-15

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m =

with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (4, 3)

m = = = , thus

y = x + c ← is the partial equation

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

Using (4, 3) , then

3 = + c ⇒ c = 3 - =

y = x + → A

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