Question

Please please help me out :)

Answer 1

y = -2x + 5.

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.

Answer 2

y = - 2x + 5

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 =
`(5-1)/(0-2)` =
`(4)/(-2)` = - 2

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

y = - 2x + 5 ← algebraic description