Question

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

y = $\frac{11}{6}$ x + 5

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (6, 16 ) and (x₂, y₂ ) = (0, 5 )

m = $\frac{5-16}{0-6}$ = $\frac{-11}{-6}$ = $\frac{11}{6}$

the y-intercept = (0, 5 ) ⇒ c = 5

y = $\frac{11}{6}$ x + 5 ← in slope-intercept form