Question

Find the equation of the line shown.

Answer 1

Answer:

y = - x + 9

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, 9) and (x₂, y₂ ) = (9, 0) ← 2 points on the line

m = $\frac{0-9}{9-0}$ = $\frac{-9}{9}$ = - 1

the line crosses the y- axis at (0, 9 ) ⇒ c = 9

y = - x + 9 ← equation of line

Answer 2

Answer:

y = -x + 9

Step-by-step explanation:

Slope

• m = rise / run
• m = -1 / 1
• m = -1

Y-intercept

• (0, 9) = (0, b)
• b = 9

Equation

• y = mx + b
• y = -x + 9