Question

Passes through (2,-1) and (1,-7)

Answer 1

Answer:

y = 6x - 13

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, - 1) and (x₂, y₂ ) = (1, - 7)

m = $\frac{-7+1}{1-2}$ = $\frac{-6}{-1}$ = 6, thus

y = 6x + c ← is the partial equation

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

Using (1, - 7), then

- 7 = 6 + c ⇒ c = - 7 - 6 = - 13

y = 6x - 13 ← equation of line