Answer:
y = - 2x + 5
Step-by-step explanation:
The algebraic description is the equation of the line
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 ) = (2, 1) and (x₂, y₂ ) = (0, 5) ← 2 points on the line
m = [tex]\frac{5-1}{0-2}[/tex] = [tex]\frac{4}{-2}[/tex] = - 2
note the line crosses the y- axis at (0, 5) ⇒ c = 5
y = - 2x + 5 ← algebraic description
Answer:
y = -2x + 5.
Step-by-step explanation:
From the diagram we see that the slope is negative and = -5/25 = -2.
The y-intercept is at y = 5.
Using y = mx + c we have m = -2 and c = 5 so the answer is y = -2x + 5.
