Question

Find the equation of the line using exact numbers

Answer 1

Answer:

y = - $\frac{1}{3}$ x + 5

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 = $\frac{y_{2-y_{1} } }{x_{2-x_{1} } }$

with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (3, 4) ← 2 points on the line

m = $\frac{4-5}{3-0}$ = $\frac{-1}{3}$ = - $\frac{1}{3}$

the line crosses the y- axis at (0, 5 ) ⇒ c = 5

y = - $\frac{1}{3}$ x + 5 ← equation of line