Q:

Find the equation of the line passing through the 2 points (9,-1) (0,-8)

Accepted Solution

A:
Answer:y = [tex]\frac{7}{9}[/tex] x - 8Step-by-step explanation:The equation of a line in slope- intercept form isy = mx + c ( m is the slope and c the y- intercept )Calculate m using the slope formulam = (yβ‚‚ - y₁ ) / (xβ‚‚ - x₁ )with (x₁, y₁ ) = (9, - 1) and (xβ‚‚, yβ‚‚ ) = (0, - 8)m = [tex]\frac{-8+1}{0-9}[/tex] = [tex]\frac{-7}{-9}[/tex] = [tex]\frac{7}{9}[/tex]Note the line crosses the y- axis at (0, - 8) β‡’ c = - 8y = [tex]\frac{7}{9}[/tex] x - 8 ← equation of line