Question

if (1,4) and (10,-68) are two anchor points on the trend line, then find the equation of the line y=[?]x + [ ]

Answer 1

Answer:

y = - 8x + 12

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 ) = (1, 4) and (x₂, y₂ ) = (10, - 68)

m = $\frac{-68-4}{10-1}$ = $\frac{-72}{9}$ = - 8, thus

y = - 8x + c ← is the partial equation

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

Using (1, 4), then

4 = - 8 + c ⇒ c = 4 + 8 = 12

y = - 8x + 12 ← equation of line