Question

Which equation represents the line that passes through the points (2, 4) and (1, -3)?

Answer 1

Answer:

y = 7x - 10

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 ) = (2, 4) and (x₂, y₂ ) = (1, - 3)

m = $\frac{-3-4}{1-2}$ = $\frac{-7}{-1}$ = 7, thus

y = 7x + c ← is the partial equation

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

Using (2, 4), then

4 = 14 + c ⇒ c = 4 - 14 = - 10

y = 7x - 10 ← equation of line