Find the equation of the line that passes through points A and B.
A (1,7)
B (-3,-1)

y = 2x + 5

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 = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = A(1, 7) and (x₂, y₂ ) = B(- 3, - 1)

m = = = 2, thus

y = 2x + c ← is the partial equation

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

Using (1, 7), then

7 = 2 + c ⇒ c = 7 - 2 = 5

y = 2x + 5 ← equation of line

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step-by-step explanation: